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460042157 = 4771891549
BaseRepresentation
bin11011011010111…
…010111110101101
31012001122120012102
4123122322332231
51420232322112
6113352144445
714254202531
oct3332727655
91161576172
10460042157
11216755533
1210a098125
13744047c3
1445153bc1
152a5c3bc2
hex1b6bafad

460042157 has 16 divisors (see below), whose sum is σ = 482112000. Its totient is φ = 438641280.

The previous prime is 460042091. The next prime is 460042171. The reversal of 460042157 is 751240064.

It is a cyclic number.

It is not a de Polignac number, because 460042157 - 220 = 458993581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460002157) 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, 296219 + ... + 297767.

It is an arithmetic number, because the mean of its divisors is an integer number (30132000).

Almost surely, 2460042157 is an apocalyptic number.

460042157 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

460042157 is a deficient number, since it is larger than the sum of its proper divisors (22069843).

460042157 is a wasteful number, since it uses less digits than its factorization.

460042157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 460042157 is about 21448.5933571412. The cubic root of 460042157 is about 771.9678439943.

The spelling of 460042157 in words is "four hundred sixty million, forty-two thousand, one hundred fifty-seven".

Divisors: 1 47 71 89 1549 3337 4183 6319 72803 109979 137861 296993 5169013 6479467 9788131 460042157