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96856956 = 223271723983
BaseRepresentation
bin1011100010111…
…10101101111100
320202020211202200
411301132231330
5144243410311
613335551500
72254161540
oct561365574
9222224680
1096856956
114a745079
122852b590
13170b3011
14cc13a20
158783556
hex5c5eb7c

96856956 has 144 divisors (see below), whose sum is σ = 309464064. Its totient is φ = 24887808.

The previous prime is 96856943. The next prime is 96856957. The reversal of 96856956 is 65965869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96856957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98041 + ... + 99023.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056).

Almost surely, 296856956 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 96856956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154732032).

96856956 is an abundant number, since it is smaller than the sum of its proper divisors (212607108).

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

96856956 is a wasteful number, since it uses less digits than its factorization.

96856956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 96856956 is about 9841.5931637108. The cubic root of 96856956 is about 459.2441209271.

It can be divided in two parts, 9685 and 6956, that added together give a square (16641 = 1292).

The spelling of 96856956 in words is "ninety-six million, eight hundred fifty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 966 983 1071 1173 1428 1449 1564 1932 1966 2142 2346 2737 2898 2949 3519 3932 4284 4692 5474 5796 5898 6881 7038 8211 8847 10948 11796 13762 14076 16422 16711 17694 20643 22609 24633 27524 32844 33422 35388 41286 45218 49266 50133 61929 66844 67827 82572 90436 98532 100266 116977 123858 135654 150399 158263 200532 203481 233954 247716 271308 300798 316526 350931 384353 406962 467908 474789 601596 633052 701862 768706 813924 949578 1052793 1153059 1403724 1424367 1537412 1899156 2105586 2306118 2690471 2848734 3459177 4211172 4612236 5380942 5697468 6918354 8071413 10761884 13836708 16142826 24214239 32285652 48428478 96856956