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316497792 = 2731324877
BaseRepresentation
bin10010110111010…
…101111110000000
3211001112202100110
4102313111332000
51122010412132
651223351320
710562121042
oct2267257600
9731482313
10316497792
11152722526
1289bb2540
1350756100
1430069a92
151cbbc1cc
hex12dd5f80

316497792 has 96 divisors (see below), whose sum is σ = 910527480. Its totient is φ = 97363968.

The previous prime is 316497787. The next prime is 316497799. The reversal of 316497792 is 297794613.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316497799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62458 + ... + 67334.

Almost surely, 2316497792 is an apocalyptic number.

316497792 is a gapful number since it is divisible by the number (32) 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 316497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455263740).

316497792 is an abundant number, since it is smaller than the sum of its proper divisors (594029688).

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

316497792 is a wasteful number, since it uses less digits than its factorization.

316497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4895 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 316497792 is about 17790.3848187722. The cubic root of 316497792 is about 681.4859316706.

The spelling of 316497792 in words is "three hundred sixteen million, four hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4877 4992 5408 8112 9754 10816 14631 16224 19508 21632 29262 32448 39016 58524 63401 64896 78032 117048 126802 156064 190203 234096 253604 312128 380406 468192 507208 624256 760812 824213 936384 1014416 1521624 1648426 1872768 2028832 2472639 3043248 3296852 4057664 4945278 6086496 6593704 8115328 9890556 12172992 13187408 19781112 24345984 26374816 39562224 52749632 79124448 105499264 158248896 316497792