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31157088 = 25323103137
BaseRepresentation
bin111011011011…
…0101101100000
32011121221111020
41312312231200
530434011323
63031445440
7525554664
oct166665540
964557436
1031157088
1116650866
12a526880
1365bb861
1441d08a4
152b06ae3
hex1db6b60

31157088 has 96 divisors (see below), whose sum is σ = 86800896. Its totient is φ = 9765888.

The previous prime is 31157083. The next prime is 31157101. The reversal of 31157088 is 88075113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31157081) 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, 227356 + ... + 227492.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 231157088 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 31157088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400448).

31157088 is an abundant number, since it is smaller than the sum of its proper divisors (55643808).

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

31157088 is a wasteful number, since it uses less digits than its factorization.

31157088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 31157088 is about 5581.8534556185. The cubic root of 31157088 is about 314.6677878284.

The spelling of 31157088 in words is "thirty-one million, one hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 137 138 184 206 274 276 309 368 411 412 548 552 618 736 822 824 1096 1104 1236 1644 1648 2192 2208 2369 2472 3151 3288 3296 4384 4738 4944 6302 6576 7107 9453 9476 9888 12604 13152 14111 14214 18906 18952 25208 28222 28428 37812 37904 42333 50416 56444 56856 75624 75808 84666 100832 112888 113712 151248 169332 225776 227424 302496 324553 338664 451552 649106 677328 973659 1298212 1354656 1947318 2596424 3894636 5192848 7789272 10385696 15578544 31157088