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87323904 = 2832151251
BaseRepresentation
bin1010011010001…
…11010100000000
320002022111212200
411031013110000
5134323331104
612355353200
72110145433
oct515072400
9202274780
1087323904
1145323818
12252b2800
1315125b65
14b85181a
1579edb39
hex5347500

87323904 has 108 divisors (see below), whose sum is σ = 254453472. Its totient is φ = 28800000.

The previous prime is 87323903. The next prime is 87323909. The reversal of 87323904 is 40932378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87323903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347779 + ... + 348029.

Almost surely, 287323904 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 87323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736).

87323904 is an abundant number, since it is smaller than the sum of its proper divisors (167129568).

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

87323904 is a wasteful number, since it uses less digits than its factorization.

87323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 87323904 is about 9344.7259991933. The cubic root of 87323904 is about 443.6539792505.

The spelling of 87323904 in words is "eighty-seven million, three hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 251 256 288 302 384 453 502 576 604 753 768 906 1004 1152 1208 1359 1506 1812 2008 2259 2304 2416 2718 3012 3624 4016 4518 4832 5436 6024 7248 8032 9036 9664 10872 12048 14496 16064 18072 19328 21744 24096 28992 32128 36144 37901 38656 43488 48192 57984 64256 72288 75802 86976 96384 113703 115968 144576 151604 173952 192768 227406 289152 303208 341109 347904 454812 578304 606416 682218 909624 1212832 1364436 1819248 2425664 2728872 3638496 4851328 5457744 7276992 9702656 10915488 14553984 21830976 29107968 43661952 87323904