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87773896 = 2372312233
BaseRepresentation
bin1010011101101…
…01001011001000
320010011101011001
411032311023020
5134432231041
612413144344
72114031400
oct516651310
9203141131
1087773896
1145600911
122548b0b4
1315252922
14b92b800
157a8c131
hex53b52c8

87773896 has 72 divisors (see below), whose sum is σ = 198669510. Its totient is φ = 36247680.

The previous prime is 87773857. The next prime is 87773897. The reversal of 87773896 is 69837778.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 4708900 = 9114^2 + 2170^2 .

It is not an unprimeable number, because it can be changed into a prime (87773897) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 376596 + ... + 376828.

Almost surely, 287773896 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 87773896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99334755).

87773896 is an abundant number, since it is smaller than the sum of its proper divisors (110895614).

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

87773896 is a wasteful number, since it uses less digits than its factorization.

87773896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 273 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 55.

The square root of 87773896 is about 9368.7723848965. The cubic root of 87773896 is about 444.4147438116.

The spelling of 87773896 in words is "eighty-seven million, seven hundred seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 233 248 392 434 466 868 932 961 1519 1631 1736 1864 1922 3038 3262 3844 6076 6524 6727 7223 7688 11417 12152 13048 13454 14446 22834 26908 28892 45668 47089 50561 53816 57784 91336 94178 101122 188356 202244 223913 353927 376712 404488 447826 707854 895652 1415708 1567391 1791304 2831416 3134782 6269564 10971737 12539128 21943474 43886948 87773896