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88750080 = 211345107
BaseRepresentation
bin1010100101000…
…11100000000000
320011222222020000
411102203200000
5140210000310
612450120000
72125235406
oct522434000
9204888200
1088750080
1146108281
1225880000
1315505053
14bb03476
157bd14c0
hex54a3800

88750080 has 240 divisors, whose sum is σ = 321080760. Its totient is φ = 23445504.

The previous prime is 88750073. The next prime is 88750093. The reversal of 88750080 is 8005788.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829387 + ... + 829493.

Almost surely, 288750080 is an apocalyptic number.

88750080 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 88750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160540380).

88750080 is an abundant number, since it is smaller than the sum of its proper divisors (232330680).

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

88750080 is a wasteful number, since it uses less digits than its factorization.

88750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 88750080 is about 9420.7260866666. The cubic root of 88750080 is about 446.0562042490.

The spelling of 88750080 in words is "eighty-eight million, seven hundred fifty thousand, eighty".