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1457120472 = 233232639711
BaseRepresentation
bin101011011011001…
…1110010011011000
310202112211101111220
41112312132103120
510441010323342
6400331052040
751052214433
oct12666362330
93675741456
101457120472
116885631a5
12347ba1020
131a2b5ab82
14db74081a
1587dc95ec
hex56d9e4d8

1457120472 has 32 divisors (see below), whose sum is σ = 3801185280. Its totient is φ = 464588960.

The previous prime is 1457120411. The next prime is 1457120501. The reversal of 1457120472 is 2740217541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1319304 + ... + 1320407.

It is an arithmetic number, because the mean of its divisors is an integer number (118787040).

Almost surely, 21457120472 is an apocalyptic number.

1457120472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1457120472 is an abundant number, since it is smaller than the sum of its proper divisors (2344064808).

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

1457120472 is a wasteful number, since it uses less digits than its factorization.

1457120472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639743 (or 2639739 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 1457120472 is about 38172.2474056742. The cubic root of 1457120472 is about 1133.7008875513.

The spelling of 1457120472 in words is "one billion, four hundred fifty-seven million, one hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2639711 5279422 7919133 10558844 15838266 21117688 31676532 60713353 63353064 121426706 182140059 242853412 364280118 485706824 728560236 1457120472