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464669136 = 2434358541
BaseRepresentation
bin11011101100100…
…100100111010000
31012101100122020000
4123230210213100
51422423403021
6114035250000
714341423341
oct3354444720
91171318200
10464669136
11219325888
1210b749900
1375364869
14459da0c8
152abd9b26
hex1bb249d0

464669136 has 50 divisors (see below), whose sum is σ = 1344891042. Its totient is φ = 154889280.

The previous prime is 464669131. The next prime is 464669141. The reversal of 464669136 is 631966464.

It is an interprime number because it is at equal distance from previous prime (464669131) and next prime (464669141).

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 178382736 = 16920^2 + 13356^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 464669091 and 464669100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464669131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 177975 + ... + 180566.

Almost surely, 2464669136 is an apocalyptic number.

It is an amenable number.

464669136 is an abundant number, since it is smaller than the sum of its proper divisors (880221906).

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

464669136 is a wasteful number, since it uses less digits than its factorization.

464669136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358561 (or 358546 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 464669136 is about 21556.1855623856. The cubic root of 464669136 is about 774.5472963474.

The spelling of 464669136 in words is "four hundred sixty-four million, six hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 358541 717082 1075623 1434164 2151246 2868328 3226869 4302492 5736656 6453738 8604984 9680607 12907476 17209968 19361214 25814952 29041821 38722428 51629904 58083642 77444856 116167284 154889712 232334568 464669136