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88742720 = 26511171483
BaseRepresentation
bin1010100101000…
…01101101000000
320011222121010102
411102201231000
5140204231340
612450021532
72125205063
oct522415500
9204877112
1088742720
11461027a0
12258778a8
13155018b1
14bb008da
157bce215
hex54a1b40

88742720 has 112 divisors (see below), whose sum is σ = 244254528. Its totient is φ = 30351360.

The previous prime is 88742653. The next prime is 88742729. The reversal of 88742720 is 2724788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88742729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59099 + ... + 60581.

It is an arithmetic number, because the mean of its divisors is an integer number (2180844).

Almost surely, 288742720 is an apocalyptic number.

88742720 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 88742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127264).

88742720 is an abundant number, since it is smaller than the sum of its proper divisors (155511808).

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

88742720 is a wasteful number, since it uses less digits than its factorization.

88742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 88742720 is about 9420.3354505028. The cubic root of 88742720 is about 446.0438735017.

The spelling of 88742720 in words is "eighty-eight million, seven hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1483 1496 1760 1870 2720 2966 2992 3520 3740 5440 5932 5984 7415 7480 11864 11968 14830 14960 16313 23728 25211 29660 29920 32626 47456 50422 59320 59840 65252 81565 94912 100844 118640 126055 130504 163130 201688 237280 252110 261008 277321 326260 403376 474560 504220 522016 554642 652520 806752 1008440 1044032 1109284 1305040 1386605 1613504 2016880 2218568 2610080 2773210 4033760 4437136 5220160 5546420 8067520 8874272 11092840 17748544 22185680 44371360 88742720