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48646440 = 23335311453
BaseRepresentation
bin1011100110010…
…0100100101000
310101112111101000
42321210210220
544423141230
64454355000
71130326233
oct271444450
9111474330
1048646440
1125506877
121435ba60
13a10329b
14666441a
15440db60
hex2e64928

48646440 has 128 divisors (see below), whose sum is σ = 167500800. Its totient is φ = 12545280.

The previous prime is 48646399. The next prime is 48646487. The reversal of 48646440 is 4464684.

48646440 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 644 + 0 = 666.

It is a super-2 number, since 2×486464402 = 4732952249347200, which contains 22 as substring.

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 = 48646395 and 48646404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32754 + ... + 34206.

It is an arithmetic number, because the mean of its divisors is an integer number (1308600).

Almost surely, 248646440 is an apocalyptic number.

48646440 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 48646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83750400).

48646440 is an abundant number, since it is smaller than the sum of its proper divisors (118854360).

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

48646440 is a wasteful number, since it uses less digits than its factorization.

48646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 48646440 is about 6974.6999935481. The cubic root of 48646440 is about 365.0483203683.

The spelling of 48646440 in words is "forty-eight million, six hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1453 1674 1860 2232 2790 2906 3348 3720 4185 4359 5580 5812 6696 7265 8370 8718 11160 11624 13077 14530 16740 17436 21795 26154 29060 33480 34872 39231 43590 45043 52308 58120 65385 78462 87180 90086 104616 130770 135129 156924 174360 180172 196155 225215 261540 270258 313848 360344 392310 405387 450430 523080 540516 675645 784620 810774 900860 1081032 1216161 1351290 1569240 1621548 1801720 2026935 2432322 2702580 3243096 4053870 4864644 5405160 6080805 8107740 9729288 12161610 16215480 24323220 48646440