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88129832 = 2372383587
BaseRepresentation
bin1010100000011…
…00000100101000
320010211110101212
411100030010220
5140030123312
612424532252
72120043200
oct520140450
9203743355
1088129832
114582427a
1225621088
131534893b
14b9c1400
157b0c822
hex540c128

88129832 has 48 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 37607136.

The previous prime is 88129777. The next prime is 88129837. The reversal of 88129832 is 23892188.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88129832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88129837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149843 + ... + 150429.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 288129832 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 88129832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

88129832 is an abundant number, since it is smaller than the sum of its proper divisors (104922328).

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

88129832 is a wasteful number, since it uses less digits than its factorization.

88129832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 88129832 is about 9387.7490379750. The cubic root of 88129832 is about 445.0146559159.

The spelling of 88129832 in words is "eighty-eight million, one hundred twenty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 383 392 587 766 1174 1532 2348 2681 3064 4109 4696 5362 8218 10724 16436 18767 21448 28763 32872 37534 57526 75068 115052 150136 224821 230104 449642 899284 1573747 1798568 3147494 6294988 11016229 12589976 22032458 44064916 88129832