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88964480 = 2751112637
BaseRepresentation
bin1010100110101…
…11110110000000
320012101212022202
411103113312000
5140233330410
612454452332
72130120443
oct523276600
9205355282
1088964480
1146244370
12259640a8
131557b807
14bb5b65a
157c24ca5
hex54d7d80

88964480 has 64 divisors (see below), whose sum is σ = 232033680. Its totient is φ = 32348160.

The previous prime is 88964471. The next prime is 88964497. The reversal of 88964480 is 8446988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 13358.

Almost surely, 288964480 is an apocalyptic number.

88964480 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 88964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116016840).

88964480 is an abundant number, since it is smaller than the sum of its proper divisors (143069200).

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

88964480 is a wasteful number, since it uses less digits than its factorization.

88964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 88964480 is about 9432.0983879516. The cubic root of 88964480 is about 446.4151054955.

The spelling of 88964480 in words is "eighty-eight million, nine hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 12637 25274 50548 63185 101096 126370 139007 202192 252740 278014 404384 505480 556028 695035 808768 1010960 1112056 1390070 1617536 2021920 2224112 2780140 4043840 4448224 5560280 8087680 8896448 11120560 17792896 22241120 44482240 88964480