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88830144 = 26321311863
BaseRepresentation
bin1010100101101…
…11000011000000
320012011001001100
411102313003000
5140220031034
612451534400
72126021004
oct522670300
9205131040
1088830144
1146162447
12258ba400
1315532620
14bb24704
157bea099
hex54b70c0

88830144 has 84 divisors (see below), whose sum is σ = 274224496. Its totient is φ = 27330048.

The previous prime is 88830127. The next prime is 88830193. The reversal of 88830144 is 44103888.

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

It is a junction number, because it is equal to n+sod(n) for n = 88830099 and 88830108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1557 + ... + 13419.

Almost surely, 288830144 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 88830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137112248).

88830144 is an abundant number, since it is smaller than the sum of its proper divisors (185394352).

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

88830144 is a wasteful number, since it uses less digits than its factorization.

88830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88830144 is about 9424.9744827241. The cubic root of 88830144 is about 446.1902973115.

The spelling of 88830144 in words is "eighty-eight million, eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 11863 23726 35589 47452 71178 94904 106767 142356 154219 189808 213534 284712 308438 379616 427068 462657 569424 616876 759232 854136 925314 1138848 1233752 1387971 1708272 1850628 2277696 2467504 2775942 3416544 3701256 4935008 5551884 6833088 7402512 9870016 11103768 14805024 22207536 29610048 44415072 88830144