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46981272 = 23313236547
BaseRepresentation
bin1011001100111…
…0000010011000
310021101220012010
42303032002120
544011400042
64354545520
71110222432
oct263160230
9107356163
1046981272
11245797a8
12138982a0
13996c390
14634d652
1541d059c
hex2cce098

46981272 has 64 divisors (see below), whose sum is σ = 132007680. Its totient is φ = 13825152.

The previous prime is 46981229. The next prime is 46981301. The reversal of 46981272 is 27218964.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 46981272.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3903 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (2062620).

Almost surely, 246981272 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 46981272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66003840).

46981272 is an abundant number, since it is smaller than the sum of its proper divisors (85026408).

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

46981272 is a wasteful number, since it uses less digits than its factorization.

46981272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6588 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 46981272 is about 6854.2885845287. The cubic root of 46981272 is about 360.8346682452.

The spelling of 46981272 in words is "forty-six million, nine hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 6547 7176 13094 19641 26188 39282 52376 78564 85111 150581 157128 170222 255333 301162 340444 451743 510666 602324 680888 903486 1021332 1204648 1806972 1957553 2042664 3613944 3915106 5872659 7830212 11745318 15660424 23490636 46981272