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931428264 = 2331329113911
BaseRepresentation
bin110111100001000…
…111011110101000
32101220122110101010
4313201013132220
53401421201024
6232231423520
732040003204
oct6741073650
92356573333
10931428264
11438848928
1221bb24ba0
1311ac7b7b0
148b9bbb04
1556b88b29
hex378477a8

931428264 has 128 divisors (see below), whose sum is σ = 2619993600. Its totient is φ = 273960960.

The previous prime is 931428257. The next prime is 931428331. The reversal of 931428264 is 462824139.

It is a super-2 number, since 2×9314282642 = 1735117221956107392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021969 + ... + 1022879.

It is an arithmetic number, because the mean of its divisors is an integer number (20468700).

Almost surely, 2931428264 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 931428264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309996800).

931428264 is an abundant number, since it is smaller than the sum of its proper divisors (1688565336).

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

931428264 is a wasteful number, since it uses less digits than its factorization.

931428264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 931428264 is about 30519.3096907515. The cubic root of 931428264 is about 976.5994397200.

The spelling of 931428264 in words is "nine hundred thirty-one million, four hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 113 116 156 174 226 232 312 339 348 377 452 678 696 754 904 911 1131 1356 1469 1508 1822 2262 2712 2733 2938 3016 3277 3644 4407 4524 5466 5876 6554 7288 8814 9048 9831 10932 11752 11843 13108 17628 19662 21864 23686 26216 26419 35256 35529 39324 42601 47372 52838 71058 78648 79257 85202 94744 102943 105676 127803 142116 158514 170404 205886 211352 255606 284232 308829 317028 340808 343447 411772 511212 617658 634056 686894 823544 1022424 1030341 1235316 1338259 1373788 2060682 2470632 2676518 2747576 2985347 4014777 4121364 5353036 5970694 8029554 8242728 8956041 10706072 11941388 16059108 17912082 23882776 32118216 35824164 38809511 71648328 77619022 116428533 155238044 232857066 310476088 465714132 931428264