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88480480 = 2551150273
BaseRepresentation
bin1010100011000…
…01101011100000
320011111021101211
411101201223200
5140122333410
612440235504
72123033404
oct521415340
9204437354
1088480480
1145a43770
122576bb94
131543c41a
14ba73104
157b7b68a
hex5461ae0

88480480 has 48 divisors (see below), whose sum is σ = 228042864. Its totient is φ = 32174080.

The previous prime is 88480459. The next prime is 88480481. The reversal of 88480480 is 8408488.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88480481) 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 7 ways as a sum of consecutive naturals, for example, 23377 + ... + 26896.

It is an arithmetic number, because the mean of its divisors is an integer number (4750893).

Almost surely, 288480480 is an apocalyptic number.

88480480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88480480 is an abundant number, since it is smaller than the sum of its proper divisors (139562384).

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

88480480 is a wasteful number, since it uses less digits than its factorization.

88480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50299 (or 50291 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 88480480 is about 9406.4063276046. The cubic root of 88480480 is about 445.6040779774.

The spelling of 88480480 in words is "eighty-eight million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 50273 100546 201092 251365 402184 502730 553003 804368 1005460 1106006 1608736 2010920 2212012 2765015 4021840 4424024 5530030 8043680 8848048 11060060 17696096 22120120 44240240 88480480