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87934812 = 223721719463
BaseRepresentation
bin1010011110111…
…00011101011100
320010110112212220
411033130131130
5140002403222
612420425340
72115301500
oct517343534
9203415786
1087934812
11457007a9
1225548250
13152aac44
14b970300
157abeb5c
hex53dc75c

87934812 has 144 divisors (see below), whose sum is σ = 266595840. Its totient is φ = 22353408.

The previous prime is 87934811. The next prime is 87934823. The reversal of 87934812 is 21843978.

87934812 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×879348122 = 15465062322950688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

87934812 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87934811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189693 + ... + 190155.

It is an arithmetic number, because the mean of its divisors is an integer number (1851360).

Almost surely, 287934812 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 87934812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133297920).

87934812 is an abundant number, since it is smaller than the sum of its proper divisors (178661028).

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

87934812 is a wasteful number, since it uses less digits than its factorization.

87934812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 87934812 is about 9377.3563438743. The cubic root of 87934812 is about 444.6861600630.

The spelling of 87934812 in words is "eighty-seven million, nine hundred thirty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 76 84 98 102 114 119 133 147 196 204 228 238 266 294 323 357 399 463 476 532 588 646 714 798 833 926 931 969 1292 1389 1428 1596 1666 1852 1862 1938 2261 2499 2778 2793 3241 3332 3724 3876 4522 4998 5556 5586 6482 6783 7871 8797 9044 9723 9996 11172 12964 13566 15742 15827 17594 19446 22687 23613 26391 27132 31484 31654 35188 38892 45374 47226 47481 52782 55097 61579 63308 68061 90748 94452 94962 105564 110194 123158 136122 149549 165291 184737 189924 220388 246316 272244 299098 330582 369474 385679 431053 448647 598196 661164 738948 771358 862106 897294 1046843 1157037 1293159 1542716 1724212 1794588 2093686 2314074 2586318 3140529 4187372 4628148 5172636 6281058 7327901 12562116 14655802 21983703 29311604 43967406 87934812