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464018144 = 2514500567
BaseRepresentation
bin11011101010000…
…101101011100000
31012100010120020012
4123222011223200
51422242040034
6114013304052
714333042402
oct3352055340
91170116205
10464018144
11218a20777
1210b495028
1375197465
14458aab72
152ab0bcce
hex1ba85ae0

464018144 has 12 divisors (see below), whose sum is σ = 913535784. Its totient is φ = 232009056.

The previous prime is 464018141. The next prime is 464018153. The reversal of 464018144 is 441810464.

It is a super-2 number, since 2×4640181442 = 430625675922409472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 14500567 = 464018144 / (4 + 6 + 4 + 0 + 1 + 8 + 1 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 464018144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464018141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7250252 + ... + 7250315.

It is an arithmetic number, because the mean of its divisors is an integer number (76127982).

Almost surely, 2464018144 is an apocalyptic number.

It is an amenable number.

464018144 is a deficient number, since it is larger than the sum of its proper divisors (449517640).

464018144 is a wasteful number, since it uses less digits than its factorization.

464018144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14500577 (or 14500569 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 464018144 is about 21541.0803814479. The cubic root of 464018144 is about 774.1854189690.

It can be divided in two parts, 46401 and 8144, that added together give a palindrome (54545).

The spelling of 464018144 in words is "four hundred sixty-four million, eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 14500567 29001134 58002268 116004536 232009072 464018144