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88297920 = 26325233143
BaseRepresentation
bin1010100001101…
…01000111000000
320011010222222100
411100311013000
5140101013140
612432310400
72121343224
oct520650700
9204128870
1088297920
1145929597
12256a2400
13153a72b9
14ba26784
157b42530
hex54351c0

88297920 has 336 divisors, whose sum is σ = 334743552. Its totient is φ = 21288960.

The previous prime is 88297919. The next prime is 88297939. The reversal of 88297920 is 2979288.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053419 + ... + 2053461.

Almost surely, 288297920 is an apocalyptic number.

88297920 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 88297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167371776).

88297920 is an abundant number, since it is smaller than the sum of its proper divisors (246445632).

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

88297920 is a wasteful number, since it uses less digits than its factorization.

88297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 88297920 is about 9396.6972921341. The cubic root of 88297920 is about 445.2973983060.

It can be divided in two parts, 8 and 8297920, that added together give a palindrome (8297928).

The spelling of 88297920 in words is "eighty-eight million, two hundred ninety-seven thousand, nine hundred twenty".