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88339968 = 2932191009
BaseRepresentation
bin1010100001111…
…11011000000000
320011020010122200
411100333120000
5140103334333
612433233200
72121606633
oct520773000
9204203580
1088339968
1145958142
1225702800
13153c0492
14ba37c1a
157b4ec13
hex543f600

88339968 has 120 divisors (see below), whose sum is σ = 268639800. Its totient is φ = 27869184.

The previous prime is 88339961. The next prime is 88339991. The reversal of 88339968 is 86993388.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88339961) 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 11 ways as a sum of consecutive naturals, for example, 87048 + ... + 88056.

It is an arithmetic number, because the mean of its divisors is an integer number (2238665).

Almost surely, 288339968 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 88339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134319900).

88339968 is an abundant number, since it is smaller than the sum of its proper divisors (180299832).

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

88339968 is a wasteful number, since it uses less digits than its factorization.

88339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1033 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 88339968 is about 9398.9344076869. The cubic root of 88339968 is about 445.3680715210.

The spelling of 88339968 in words is "eighty-eight million, three hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1009 1152 1216 1368 1536 1824 2018 2304 2432 2736 3027 3648 4036 4608 4864 5472 6054 7296 8072 9081 9728 10944 12108 14592 16144 18162 19171 21888 24216 29184 32288 36324 38342 43776 48432 57513 64576 72648 76684 87552 96864 115026 129152 145296 153368 172539 193728 230052 258304 290592 306736 345078 387456 460104 516608 581184 613472 690156 774912 920208 1162368 1226944 1380312 1549824 1840416 2324736 2453888 2760624 3680832 4649472 4907776 5521248 7361664 9815552 11042496 14723328 22084992 29446656 44169984 88339968