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88106496 = 293193019
BaseRepresentation
bin1010100000001…
…10011000000000
320010210021101120
411100012120000
5140023401441
612424232240
72116615152
oct520063000
9203707346
1088106496
1145808795
122560b680
131533b12a
14b9b6ad2
157b05966
hex5406600

88106496 has 80 divisors (see below), whose sum is σ = 247156800. Its totient is φ = 27813888.

The previous prime is 88106489. The next prime is 88106497. The reversal of 88106496 is 69460188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88106497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27675 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (3089460).

Almost surely, 288106496 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 88106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123578400).

88106496 is an abundant number, since it is smaller than the sum of its proper divisors (159050304).

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

88106496 is a wasteful number, since it uses less digits than its factorization.

88106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 88106496 is about 9386.5060592321. The cubic root of 88106496 is about 444.9753738003.

The spelling of 88106496 in words is "eighty-eight million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3019 3648 4864 6038 7296 9057 9728 12076 14592 18114 24152 29184 36228 48304 57361 72456 96608 114722 144912 172083 193216 229444 289824 344166 386432 458888 579648 688332 772864 917776 1159296 1376664 1545728 1835552 2318592 2753328 3671104 4637184 5506656 7342208 11013312 14684416 22026624 29368832 44053248 88106496