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464939640 = 2332511137857
BaseRepresentation
bin11011101101100…
…110101001111000
31012101212101021200
4123231212221320
51423011032030
6114045134200
714343631104
oct3355465170
91171771250
10464939640
112194a0040
1210b85a360
137542aa19
1445a6a904
152ac3ed60
hex1bb66a78

464939640 has 192 divisors, whose sum is σ = 1662392160. Its totient is φ = 111759360.

The previous prime is 464939639. The next prime is 464939653. The reversal of 464939640 is 46939464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542092 + ... + 542948.

Almost surely, 2464939640 is an apocalyptic number.

464939640 is a gapful number since it is divisible by the number (40) 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 464939640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831196080).

464939640 is an abundant number, since it is smaller than the sum of its proper divisors (1197452520).

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

464939640 is a wasteful number, since it uses less digits than its factorization.

464939640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1015 counting only the distinct ones).

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

The square root of 464939640 is about 21562.4590434394. The cubic root of 464939640 is about 774.6975663511.

The spelling of 464939640 in words is "four hundred sixty-four million, nine hundred thirty-nine thousand, six hundred forty".