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96775536 = 243111323613
BaseRepresentation
bin1011100010010…
…10110101110000
320202002201002010
411301022311300
5144233304121
613334122520
72253402264
oct561126560
9222081063
1096775536
114a699990
12284b0440
1317084c40
14cbd20a4
158769376
hex5c4ad70

96775536 has 160 divisors (see below), whose sum is σ = 306980352. Its totient is φ = 25850880.

The previous prime is 96775519. The next prime is 96775571. The reversal of 96775536 is 63557769.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 157566 + ... + 158178.

Almost surely, 296775536 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 96775536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153490176).

96775536 is an abundant number, since it is smaller than the sum of its proper divisors (210204816).

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

96775536 is a wasteful number, since it uses less digits than its factorization.

96775536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 48.

The square root of 96775536 is about 9837.4557686426. The cubic root of 96775536 is about 459.1154014209.

The spelling of 96775536 in words is "ninety-six million, seven hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 176 184 208 253 264 276 286 299 312 368 429 506 528 552 572 598 613 624 759 858 897 1012 1104 1144 1196 1226 1518 1716 1794 1839 2024 2288 2392 2452 3036 3289 3432 3588 3678 4048 4784 4904 6072 6578 6743 6864 7176 7356 7969 9808 9867 12144 13156 13486 14099 14352 14712 15938 19734 20229 23907 26312 26972 28198 29424 31876 39468 40458 42297 47814 52624 53944 56396 63752 78936 80916 84594 87659 95628 107888 112792 127504 155089 157872 161832 169188 175318 183287 191256 225584 262977 310178 323664 338376 350636 366574 382512 465267 525954 549861 620356 676752 701272 733148 930534 1051908 1099722 1240712 1402544 1466296 1861068 2016157 2103816 2199444 2481424 2932592 3722136 4032314 4207632 4398888 6048471 7444272 8064628 8797776 12096942 16129256 24193884 32258512 48387768 96775536