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88528944 = 24371731523
BaseRepresentation
bin1010100011011…
…01100000110000
320011120201212210
411101231200300
5140130411234
612441252120
72123324610
oct521554060
9204521783
1088528944
1145a77119
1225794040
13154584ba
14ba86a40
157b8abe9
hex546d830

88528944 has 80 divisors (see below), whose sum is σ = 263054592. Its totient is φ = 25131264.

The previous prime is 88528943. The next prime is 88528981. The reversal of 88528944 is 44982588.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 88528893 and 88528902.

It is not an unprimeable number, because it can be changed into a prime (88528943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57367 + ... + 58889.

Almost surely, 288528944 is an apocalyptic number.

88528944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88528944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131527296).

88528944 is an abundant number, since it is smaller than the sum of its proper divisors (174525648).

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

88528944 is a wasteful number, since it uses less digits than its factorization.

88528944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 88528944 is about 9408.9820915974. The cubic root of 88528944 is about 445.6854210198.

The spelling of 88528944 in words is "eighty-eight million, five hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 1523 2076 2422 2768 3046 3633 4152 4569 4844 6092 7266 8304 9138 9688 10661 12184 14532 18276 19376 21322 24368 29064 31983 36552 42644 58128 63966 73104 85288 127932 170576 255864 263479 511728 526958 790437 1053916 1580874 1844353 2107832 3161748 3688706 4215664 5533059 6323496 7377412 11066118 12646992 14754824 22132236 29509648 44264472 88528944