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88872240 = 2435291132
BaseRepresentation
bin1010100110000…
…01010100110000
320012020011210110
411103001110300
5140222402430
612452501320
72126254512
oct523012460
9205204713
1088872240
1146191036
122591a840
1315548832
14bb35bb2
157c077b0
hex54c1530

88872240 has 120 divisors (see below), whose sum is σ = 287548560. Its totient is φ = 22679552.

The previous prime is 88872233. The next prime is 88872263. The reversal of 88872240 is 4227888.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786424 + ... + 786536.

It is an arithmetic number, because the mean of its divisors is an integer number (2396238).

Almost surely, 288872240 is an apocalyptic number.

88872240 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 88872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143774280).

88872240 is an abundant number, since it is smaller than the sum of its proper divisors (198676320).

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

88872240 is a wasteful number, since it uses less digits than its factorization.

88872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 88872240 is about 9427.2074338056. The cubic root of 88872240 is about 446.2607683613.

The spelling of 88872240 in words is "eighty-eight million, eight hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 113 116 120 145 174 226 232 240 290 339 348 435 452 464 565 580 678 696 870 904 1130 1160 1356 1392 1695 1740 1808 2260 2320 2712 3277 3390 3480 4520 5424 6554 6780 6960 9040 9831 12769 13108 13560 16385 19662 25538 26216 27120 32770 38307 39324 49155 51076 52432 63845 65540 76614 78648 98310 102152 127690 131080 153228 157296 191535 196620 204304 255380 262160 306456 370301 383070 393240 510760 612912 740602 766140 786480 1021520 1110903 1481204 1532280 1851505 2221806 2962408 3064560 3703010 4443612 5554515 5924816 7406020 8887224 11109030 14812040 17774448 22218060 29624080 44436120 88872240