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88814496 = 2531994649
BaseRepresentation
bin1010100101100…
…11001110100000
320012010020120210
411102303032200
5140214030441
612451334120
72125624251
oct522631640
9205106523
1088814496
1146151711
12258b1340
1315528474
14bb1cb28
157be5616
hex54b33a0

88814496 has 48 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 29449728.

The previous prime is 88814489. The next prime is 88814503. The reversal of 88814496 is 69441888.

It is an interprime number because it is at equal distance from previous prime (88814489) and next prime (88814503).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16780 + ... + 21428.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 288814496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180000).

88814496 is an abundant number, since it is smaller than the sum of its proper divisors (145545504).

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

88814496 is a wasteful number, since it uses less digits than its factorization.

88814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4853 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 88814496 is about 9424.1443112890. The cubic root of 88814496 is about 446.1640960114.

The spelling of 88814496 in words is "eighty-eight million, eight hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4649 4776 6368 9298 9552 13947 18596 19104 27894 37192 55788 74384 111576 148768 223152 446304 925151 1850302 2775453 3700604 5550906 7401208 11101812 14802416 22203624 29604832 44407248 88814496