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457000131 = 3742151691
BaseRepresentation
bin11011001111010…
…100010011000011
31011211221000022210
4123033110103003
51413443001011
6113203033203
714216302620
oct3317242303
91154830283
10457000131
11214a67a65
1210906b803
13738aaca3
14449a1347
152a1c26a6
hex1b3d44c3

457000131 has 16 divisors (see below), whose sum is σ = 698048768. Its totient is φ = 260517600.

The previous prime is 457000127. The next prime is 457000151. The reversal of 457000131 is 131000754.

It is not a de Polignac number, because 457000131 - 22 = 457000127 is a prime.

It is a super-2 number, since 2×4570001312 = 417698239468034322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457000098 and 457000107.

It is not an unprimeable number, because it can be changed into a prime (457000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17005 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (43628048).

Almost surely, 2457000131 is an apocalyptic number.

457000131 is a deficient number, since it is larger than the sum of its proper divisors (241048637).

457000131 is a wasteful number, since it uses less digits than its factorization.

457000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52122.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 457000131 is about 21377.5613903925. The cubic root of 457000131 is about 770.2625354278.

Adding to 457000131 its reverse (131000754), we get a palindrome (588000885).

The spelling of 457000131 in words is "four hundred fifty-seven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 421 1263 2947 8841 51691 155073 361837 1085511 21761911 65285733 152333377 457000131