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87676416 = 293253359
BaseRepresentation
bin1010011100111…
…01011000000000
320002222102102200
411032131120000
5134421121131
612411113200
72113144242
oct516353000
9202872380
1087676416
1145544653
1225442800
131521a449
14b904092
157a6d2e6
hex539d600

87676416 has 120 divisors (see below), whose sum is σ = 258532560. Its totient is φ = 28594176.

The previous prime is 87676411. The next prime is 87676417. The reversal of 87676416 is 61467678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87676411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244045 + ... + 244403.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 287676416 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 87676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266280).

87676416 is an abundant number, since it is smaller than the sum of its proper divisors (170856144).

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

87676416 is a wasteful number, since it uses less digits than its factorization.

87676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 87676416 is about 9363.5685505047. The cubic root of 87676416 is about 444.2501633821.

The spelling of 87676416 in words is "eighty-seven million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 359 384 424 477 512 576 636 718 768 848 954 1077 1152 1272 1436 1536 1696 1908 2154 2304 2544 2872 3231 3392 3816 4308 4608 5088 5744 6462 6784 7632 8616 10176 11488 12924 13568 15264 17232 19027 20352 22976 25848 27136 30528 34464 38054 40704 45952 51696 57081 61056 68928 76108 81408 91904 103392 114162 122112 137856 152216 171243 183808 206784 228324 244224 275712 304432 342486 413568 456648 551424 608864 684972 827136 913296 1217728 1369944 1654272 1826592 2435456 2739888 3653184 4870912 5479776 7306368 9741824 10959552 14612736 21919104 29225472 43838208 87676416