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87996048 = 24371012593
BaseRepresentation
bin1010011111010…
…11011010010000
320010120122212220
411033223122100
5140011333143
612422021040
72115645150
oct517533220
9203518786
1087996048
1145742808
1225577780
13152cca8a
14b988760
157ad2d83
hex53eb690

87996048 has 80 divisors (see below), whose sum is σ = 262471296. Its totient is φ = 24883200.

The previous prime is 87996047. The next prime is 87996061. The reversal of 87996048 is 84069978.

It is a happy number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (87996043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32640 + ... + 35232.

Almost surely, 287996048 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 87996048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131235648).

87996048 is an abundant number, since it is smaller than the sum of its proper divisors (174475248).

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

87996048 is a wasteful number, since it uses less digits than its factorization.

87996048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 87996048 is about 9380.6208749741. The cubic root of 87996048 is about 444.7893595526.

The spelling of 87996048 in words is "eighty-seven million, nine hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2593 2828 4242 4848 5186 5656 7779 8484 10372 11312 15558 16968 18151 20744 31116 33936 36302 41488 54453 62232 72604 108906 124464 145208 217812 261893 290416 435624 523786 785679 871248 1047572 1571358 1833251 2095144 3142716 3666502 4190288 5499753 6285432 7333004 10999506 12570864 14666008 21999012 29332016 43998024 87996048