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49964040 = 2334572203
BaseRepresentation
bin1011111010011…
…0010000001000
310111000102210000
42332212100020
5100242322130
64542523000
71144454520
oct276462010
9114012700
1049964040
11262267a5
1214896460
13a474c29
1468c8680
1545be260
hex2fa6408

49964040 has 160 divisors (see below), whose sum is σ = 192012480. Its totient is φ = 11415168.

The previous prime is 49964039. The next prime is 49964041. The reversal of 49964040 is 4046994.

49964040 is a `hidden beast` number, since 4 + 9 + 9 + 640 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49964039) and next prime (49964041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49963986 and 49964004.

It is not an unprimeable number, because it can be changed into a prime (49964041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21579 + ... + 23781.

It is an arithmetic number, because the mean of its divisors is an integer number (1200078).

Almost surely, 249964040 is an apocalyptic number.

49964040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96006240).

49964040 is an abundant number, since it is smaller than the sum of its proper divisors (142048440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49964040 is a wasteful number, since it uses less digits than its factorization.

49964040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49964040 is about 7068.5245985283. The cubic root of 49964040 is about 368.3148101676.

The spelling of 49964040 in words is "forty-nine million, nine hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2203 2268 2520 2835 3240 3780 4406 4536 5670 6609 7560 8812 11015 11340 13218 15421 17624 19827 22030 22680 26436 30842 33045 39654 44060 46263 52872 59481 61684 66090 77105 79308 88120 92526 99135 118962 123368 132180 138789 154210 158616 178443 185052 198270 231315 237924 264360 277578 297405 308420 356886 370104 396540 416367 462630 475848 555156 594810 616840 693945 713772 793080 832734 892215 925260 1110312 1189620 1249101 1387890 1427544 1665468 1784430 1850520 2081835 2379240 2498202 2775780 3330936 3568860 4163670 4996404 5551560 6245505 7137720 8327340 9992808 12491010 16654680 24982020 49964040