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96129852 = 223713471873
BaseRepresentation
bin1011011101011…
…01001100111100
320200212220100220
411232231030330
5144102123402
613312221340
72245042650
oct556551474
9220786326
1096129852
114a298865
122823a850
1316bba090
14caa4a60
15868cdbc
hex5bad33c

96129852 has 96 divisors (see below), whose sum is σ = 282089472. Its totient is φ = 24800256.

The previous prime is 96129851. The next prime is 96129937. The reversal of 96129852 is 25892169.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96129851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50388 + ... + 52260.

It is an arithmetic number, because the mean of its divisors is an integer number (2938432).

Almost surely, 296129852 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 96129852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141044736).

96129852 is an abundant number, since it is smaller than the sum of its proper divisors (185959620).

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

96129852 is a wasteful number, since it uses less digits than its factorization.

96129852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 96129852 is about 9804.5832139872. The cubic root of 96129852 is about 458.0920532221.

The spelling of 96129852 in words is "ninety-six million, one hundred twenty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1092 1222 1316 1833 1873 1974 2444 3666 3746 3948 4277 5619 7332 7492 8554 11238 12831 13111 17108 22476 24349 25662 26222 39333 48698 51324 52444 73047 78666 88031 97396 146094 157332 170443 176062 264093 292188 340886 352124 511329 528186 616217 681772 1022658 1056372 1144403 1232434 1848651 2045316 2288806 2464868 3433209 3697302 4577612 6866418 7394604 8010821 13732836 16021642 24032463 32043284 48064926 96129852