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88016816 = 2419419691
BaseRepresentation
bin1010011111100…
…00011110110000
320010121201101002
411033300132300
5140013014231
612422301132
72116062536
oct517603660
9203551332
1088016816
1145757378
12255877a8
1315309374
14b992156
157ad90cb
hex53f07b0

88016816 has 40 divisors (see below), whose sum is σ = 180196800. Its totient is φ = 41532480.

The previous prime is 88016813. The next prime is 88016879. The reversal of 88016816 is 61861088.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 88016816.

It is not an unprimeable number, because it can be changed into a prime (88016813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127031 + ... + 127721.

It is an arithmetic number, because the mean of its divisors is an integer number (4504920).

Almost surely, 288016816 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 88016816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90098400).

88016816 is an abundant number, since it is smaller than the sum of its proper divisors (92179984).

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

88016816 is a wasteful number, since it uses less digits than its factorization.

88016816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 88016816 is about 9381.7277726440. The cubic root of 88016816 is about 444.8243484679.

The spelling of 88016816 in words is "eighty-eight million, sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 419 691 838 1382 1676 2764 3352 5528 6704 7961 11056 13129 15922 26258 31844 52516 63688 105032 127376 210064 289529 579058 1158116 2316232 4632464 5501051 11002102 22004204 44008408 88016816