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464429568 = 2932111433
BaseRepresentation
bin11011101011101…
…010001000000000
31012100220110121010
4123223222020000
51422343221233
6114030200520
714336405031
oct3353521000
91170813533
10464429568
11219181899
1210b653140
13752ac7c5
1445976a88
152ab8db63
hex1baea200

464429568 has 80 divisors (see below), whose sum is σ = 1244000736. Its totient is φ = 153968640.

The previous prime is 464429549. The next prime is 464429617. The reversal of 464429568 is 865924464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323380 + ... + 324812.

Almost surely, 2464429568 is an apocalyptic number.

464429568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464429568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622000368).

464429568 is an abundant number, since it is smaller than the sum of its proper divisors (779571168).

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

464429568 is a wasteful number, since it uses less digits than its factorization.

464429568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1649 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 464429568 is about 21550.6280186912. The cubic root of 464429568 is about 774.4141631633.

The spelling of 464429568 in words is "four hundred sixty-four million, four hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 512 633 768 844 1266 1433 1536 1688 2532 2866 3376 4299 5064 5732 6752 8598 10128 11464 13504 17196 20256 22928 27008 34392 40512 45856 54016 68784 81024 91712 108032 137568 162048 183424 275136 302363 324096 366848 550272 604726 733696 907089 1100544 1209452 1814178 2201088 2418904 3628356 4837808 7256712 9675616 14513424 19351232 29026848 38702464 58053696 77404928 116107392 154809856 232214784 464429568