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464024142 = 23241628759
BaseRepresentation
bin11011101010000…
…111001001001110
31012100010212110100
4123222013021032
51422242233032
6114013351530
714333066031
oct3352071116
91170125410
10464024142
11218a2522a
1210b4985a6
137519a0ca
14458ad018
152ab0d97c
hex1ba8724e

464024142 has 24 divisors (see below), whose sum is σ = 1029908880. Its totient is φ = 150901920.

The previous prime is 464024131. The next prime is 464024153. The reversal of 464024142 is 241420464.

It is a happy number.

464024142 is a `hidden beast` number, since 4 + 640 + 2 + 4 + 14 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (464024131) and next prime (464024153).

It is a super-3 number, since 3×4640241423 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313642 + ... + 315117.

It is an arithmetic number, because the mean of its divisors is an integer number (42912870).

Almost surely, 2464024142 is an apocalyptic number.

464024142 is an abundant number, since it is smaller than the sum of its proper divisors (565884738).

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

464024142 is a wasteful number, since it uses less digits than its factorization.

464024142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628808 (or 628805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 464024142 is about 21541.2196033558. The cubic root of 464024142 is about 774.1887547180.

It can be divided in two parts, 464024 and 142, that added together give a triangular number (464166 = T963).

The spelling of 464024142 in words is "four hundred sixty-four million, twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 628759 1257518 1886277 3772554 5658831 11317662 25779119 51558238 77337357 154674714 232012071 464024142