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88057920 = 2635293163
BaseRepresentation
bin1010011111110…
…10100001000000
320010200210202110
411033322201000
5140020323140
612423215320
72116323426
oct517724100
9203623673
1088057920
1145785245
12255a7540
1315321ca2
14b9a3116
157ae6380
hex53fa840

88057920 has 112 divisors (see below), whose sum is σ = 289316160. Its totient is φ = 22665216.

The previous prime is 88057901. The next prime is 88057933. The reversal of 88057920 is 2975088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26259 + ... + 29421.

It is an arithmetic number, because the mean of its divisors is an integer number (2583180).

Almost surely, 288057920 is an apocalyptic number.

88057920 is a gapful number since it is divisible by the number (80) 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 88057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144658080).

88057920 is an abundant number, since it is smaller than the sum of its proper divisors (201258240).

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

88057920 is a wasteful number, since it uses less digits than its factorization.

88057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 88057920 is about 9383.9181582109. The cubic root of 88057920 is about 444.8935822627.

The spelling of 88057920 in words is "eighty-eight million, fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3163 3480 4640 5568 6326 6960 9280 9489 12652 13920 15815 18978 25304 27840 31630 37956 47445 50608 63260 75912 91727 94890 101216 126520 151824 183454 189780 202432 253040 275181 303648 366908 379560 458635 506080 550362 607296 733816 759120 917270 1012160 1100724 1375905 1467632 1518240 1834540 2201448 2751810 2935264 3036480 3669080 4402896 5503620 5870528 7338160 8805792 11007240 14676320 17611584 22014480 29352640 44028960 88057920