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31084152 = 23311196197
BaseRepresentation
bin111011010010…
…0111001111000
32011111020102220
41312210321320
530424143102
63030124040
7525132231
oct166447170
964436386
1031084152
1116600a90
12a4b0620
1365945b8
1441b2088
152ae01bc
hex1da4e78

31084152 has 64 divisors (see below), whose sum is σ = 89251200. Its totient is φ = 8922240.

The previous prime is 31084147. The next prime is 31084159. The reversal of 31084152 is 25148013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31084159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918 + ... + 8114.

It is an arithmetic number, because the mean of its divisors is an integer number (1394550).

Almost surely, 231084152 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 31084152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44625600).

31084152 is an abundant number, since it is smaller than the sum of its proper divisors (58167048).

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

31084152 is a wasteful number, since it uses less digits than its factorization.

31084152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 31084152 is about 5575.3163138965. The cubic root of 31084152 is about 314.4220594561.

It can be divided in two parts, 3108 and 4152, that added together give a triangular number (7260 = T120).

The spelling of 31084152 in words is "thirty-one million, eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 6197 12394 18591 24788 37182 49576 68167 74364 117743 136334 148728 204501 235486 272668 353229 409002 470972 545336 706458 818004 941944 1295173 1412916 1636008 2590346 2825832 3885519 5180692 7771038 10361384 15542076 31084152