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80471520 = 25325294147
BaseRepresentation
bin1001100101111…
…10010111100000
312121102101011200
410302332113200
5131100042040
611552441200
71664665563
oct462762740
9177371150
1080471520
1141473498
1222b49200
1313896bac
14a98a4da
1570e8630
hex4cbe5e0

80471520 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 19783680.

The previous prime is 80471509. The next prime is 80471551. The reversal of 80471520 is 2517408.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×804715202 = 12951331062220800, which contains 22 as substring.

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, 1712137 + ... + 1712183.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 280471520 is an apocalyptic number.

80471520 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 80471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

80471520 is an abundant number, since it is smaller than the sum of its proper divisors (216727200).

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

80471520 is a wasteful number, since it uses less digits than its factorization.

80471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 80471520 is about 8970.5919537119. The cubic root of 80471520 is about 431.7318294483.

Adding to 80471520 its reverse (2517408), we get a palindrome (82988928).

The spelling of 80471520 in words is "eighty million, four hundred seventy-one thousand, five hundred twenty".