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913485312 = 29321371447
BaseRepresentation
bin110110011100101…
…010111000000000
32100122212212021100
4312130222320000
53332323012222
6230351054400
731431332325
oct6634527000
92318785240
10913485312
11429703043
12215b11400
1311733876c
148946ab4c
15552e24ac
hex3672ae00

913485312 has 120 divisors (see below), whose sum is σ = 2657459376. Its totient is φ = 302063616.

The previous prime is 913485283. The next prime is 913485323. The reversal of 913485312 is 213584319.

913485312 is a `hidden beast` number, since 91 + 34 + 8 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630573 + ... + 632019.

Almost surely, 2913485312 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 913485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328729688).

913485312 is an abundant number, since it is smaller than the sum of its proper divisors (1743974064).

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

913485312 is a wasteful number, since it uses less digits than its factorization.

913485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 913485312 is about 30223.9195340379. The cubic root of 913485312 is about 970.2876930327.

The spelling of 913485312 in words is "nine hundred thirteen million, four hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1096 1152 1233 1447 1536 1644 2192 2304 2466 2894 3288 4341 4384 4608 4932 5788 6576 8682 8768 9864 11576 13023 13152 17364 17536 19728 23152 26046 26304 34728 35072 39456 46304 52092 52608 69456 70144 78912 92608 104184 105216 138912 157824 185216 198239 208368 210432 277824 315648 370432 396478 416736 555648 594717 631296 740864 792956 833472 1111296 1189434 1585912 1666944 1784151 2222592 2378868 3171824 3333888 3568302 4757736 6343648 6667776 7136604 9515472 12687296 14273208 19030944 25374592 28546416 38061888 50749184 57092832 76123776 101498368 114185664 152247552 228371328 304495104 456742656 913485312