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464706372 = 2231367173257
BaseRepresentation
bin11011101100101…
…101101101000100
31012101102112022010
4123230231231010
51422431100442
6114040134220
714341640034
oct3354555504
91171375263
10464706372
11219350859
1210b767370
13753787b0
1445a098c4
152abe5b9c
hex1bb2db44

464706372 has 96 divisors (see below), whose sum is σ = 1196641152. Its totient is φ = 139493376.

The previous prime is 464706301. The next prime is 464706379. The reversal of 464706372 is 273607464.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 464706372.

It is not an unprimeable number, because it can be changed into a prime (464706379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808068 + ... + 1808324.

It is an arithmetic number, because the mean of its divisors is an integer number (12465012).

Almost surely, 2464706372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464706372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598320576).

464706372 is an abundant number, since it is smaller than the sum of its proper divisors (731934780).

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

464706372 is a wasteful number, since it uses less digits than its factorization.

464706372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 464706372 is about 21557.0492414894. The cubic root of 464706372 is about 774.5679850988.

The spelling of 464706372 in words is "four hundred sixty-four million, seven hundred six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 173 201 257 268 346 402 514 519 692 771 804 871 1028 1038 1542 1742 2076 2249 2613 3084 3341 3484 4498 5226 6682 6747 8996 10023 10452 11591 13364 13494 17219 20046 23182 26988 34438 34773 40092 44461 46364 51657 68876 69546 88922 103314 133383 139092 150683 177844 206628 223847 266766 301366 447694 452049 533532 577993 602732 671541 895388 904098 1155986 1343082 1733979 1808196 2311972 2686164 2978887 3467958 5957774 6935916 8936661 11915548 17873322 35746644 38725531 77451062 116176593 154902124 232353186 464706372