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49734540 = 22335312971
BaseRepresentation
bin1011110110111…
…0001110001100
310110120202222000
42331232032030
5100213001130
64533552300
71142510442
oct275561614
9113522860
1049734540
112608a329
12147a5690
13a3c462b
146868b92
154576260
hex2f6e38c

49734540 has 96 divisors (see below), whose sum is σ = 159774720. Its totient is φ = 12830400.

The previous prime is 49734539. The next prime is 49734547. The reversal of 49734540 is 4543794.

49734540 is a `hidden beast` number, since 49 + 73 + 4 + 540 = 666.

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 = 49734495 and 49734504.

It is not an unprimeable number, because it can be changed into a prime (49734547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15255 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (1664320).

Almost surely, 249734540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49734540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79887360).

49734540 is an abundant number, since it is smaller than the sum of its proper divisors (110040180).

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

49734540 is a wasteful number, since it uses less digits than its factorization.

49734540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 49734540 is about 7052.2719743356. The cubic root of 49734540 is about 367.7500172918.

The spelling of 49734540 in words is "forty-nine million, seven hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 2971 3348 4185 5580 5942 8370 8913 11884 14855 16740 17826 26739 29710 35652 44565 53478 59420 80217 89130 92101 106956 133695 160434 178260 184202 267390 276303 320868 368404 401085 460505 534780 552606 802170 828909 921010 1105212 1381515 1604340 1657818 1842020 2486727 2763030 3315636 4144545 4973454 5526060 8289090 9946908 12433635 16578180 24867270 49734540