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88538016 = 2537359367
BaseRepresentation
bin1010100011011…
…11101110100000
320011121012022210
411101233232200
5140131204031
612441402120
72123363220
oct521575640
9204535283
1088538016
1145a82a16
1225799340
131545c678
14ba8a080
157b8d746
hex546fba0

88538016 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 25157376.

The previous prime is 88537987. The next prime is 88538033. The reversal of 88538016 is 61083588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241065 + ... + 241431.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 288538016 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 88538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

88538016 is an abundant number, since it is smaller than the sum of its proper divisors (178541664).

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

88538016 is a wasteful number, since it uses less digits than its factorization.

88538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 88538016 is about 9409.4641717794. The cubic root of 88538016 is about 445.7006443651.

The spelling of 88538016 in words is "eighty-eight million, five hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 359 367 672 718 734 1077 1101 1436 1468 2154 2202 2513 2569 2872 2936 4308 4404 5026 5138 5744 5872 7539 7707 8616 8808 10052 10276 11488 11744 15078 15414 17232 17616 20104 20552 30156 30828 34464 35232 40208 41104 60312 61656 80416 82208 120624 123312 131753 241248 246624 263506 395259 527012 790518 922271 1054024 1581036 1844542 2108048 2766813 3162072 3689084 4216096 5533626 6324144 7378168 11067252 12648288 14756336 22134504 29512672 44269008 88538016