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88830432 = 253443797
BaseRepresentation
bin1010100101101…
…11000111100000
320012011001110000
411102313013200
5140220033212
612451540000
72126021565
oct522670740
9205131400
1088830432
1146162689
12258ba600
13155327b2
14bb2486c
157bea1dc
hex54b71e0

88830432 has 120 divisors (see below), whose sum is σ = 267658776. Its totient is φ = 28885248.

The previous prime is 88830419. The next prime is 88830433. The reversal of 88830432 is 23403888.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88830433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111058 + ... + 111854.

Almost surely, 288830432 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 88830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133829388).

88830432 is an abundant number, since it is smaller than the sum of its proper divisors (178828344).

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

88830432 is a wasteful number, since it uses less digits than its factorization.

88830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88830432 is about 9424.9897612676. The cubic root of 88830432 is about 446.1907795151.

The spelling of 88830432 in words is "eighty-eight million, eight hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 797 864 1032 1161 1296 1376 1548 1594 2064 2322 2391 2592 3096 3188 3483 4128 4644 4782 6192 6376 6966 7173 9288 9564 12384 12752 13932 14346 18576 19128 21519 25504 27864 28692 34271 37152 38256 43038 55728 57384 64557 68542 76512 86076 102813 111456 114768 129114 137084 172152 205626 229536 258228 274168 308439 344304 411252 516456 548336 616878 688608 822504 925317 1032912 1096672 1233756 1645008 1850634 2065824 2467512 2775951 3290016 3701268 4935024 5551902 7402536 9870048 11103804 14805072 22207608 29610144 44415216 88830432