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88257216 = 2631393307
BaseRepresentation
bin1010100001010…
…11001011000000
320011001221010210
411100223023000
5140043212331
612431354120
72121113445
oct520531300
9204057123
1088257216
1145900a53
1225682940
1315391908
14ba159cc
157b35446
hex542b2c0

88257216 has 56 divisors (see below), whose sum is σ = 235264960. Its totient is φ = 29198592.

The previous prime is 88257151. The next prime is 88257227. The reversal of 88257216 is 61275288.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25035 + ... + 28341.

It is an arithmetic number, because the mean of its divisors is an integer number (4201160).

Almost surely, 288257216 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 88257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117632480).

88257216 is an abundant number, since it is smaller than the sum of its proper divisors (147007744).

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

88257216 is a wasteful number, since it uses less digits than its factorization.

88257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3451 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 88257216 is about 9394.5311751039. The cubic root of 88257216 is about 445.2289626766.

The spelling of 88257216 in words is "eighty-eight million, two hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3307 3336 4448 6614 6672 8896 9921 13228 13344 19842 26456 26688 39684 52912 79368 105824 158736 211648 317472 459673 634944 919346 1379019 1838692 2758038 3677384 5516076 7354768 11032152 14709536 22064304 29419072 44128608 88257216