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491242752 = 28337111371
BaseRepresentation
bin11101010001111…
…100010100000000
31021020100201101000
4131101330110000
52001224232002
6120425012000
715113331420
oct3521742400
91236321330
10491242752
11232325a50
12118624000
137aa0a0b0
1449356480
152d1d861c
hex1d47c500

491242752 has 576 divisors, whose sum is σ = 1977937920. Its totient is φ = 116121600.

The previous prime is 491242711. The next prime is 491242781. The reversal of 491242752 is 257242194.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 6918877 + ... + 6918947.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2491242752 is an apocalyptic number.

491242752 is a gapful number since it is divisible by the number (42) 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 491242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

491242752 is an abundant number, since it is smaller than the sum of its proper divisors (1486695168).

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

491242752 is a wasteful number, since it uses less digits than its factorization.

491242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 491242752 is about 22163.9967514887. The cubic root of 491242752 is about 789.0394521180.

The spelling of 491242752 in words is "four hundred ninety-one million, two hundred forty-two thousand, seven hundred fifty-two".