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464454942 = 237102110831
BaseRepresentation
bin11011101011110…
…000010100011110
31012100221202101220
4123223300110132
51422400024232
6114030514210
714336542020
oct3353602436
91170852356
10464454942
11219199966
1210b665966
13752bb213
1445982010
152ab9642c
hex1baf051e

464454942 has 32 divisors (see below), whose sum is σ = 1062749184. Its totient is φ = 132559200.

The previous prime is 464454941. The next prime is 464454961. The reversal of 464454942 is 249454464.

It is a happy number.

It is a super-3 number, since 3×4644549423 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 464454894 and 464454903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464454941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37467 + ... + 48297.

It is an arithmetic number, because the mean of its divisors is an integer number (33210912).

Almost surely, 2464454942 is an apocalyptic number.

464454942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

464454942 is an abundant number, since it is smaller than the sum of its proper divisors (598294242).

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

464454942 is a wasteful number, since it uses less digits than its factorization.

464454942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864.

The product of its digits is 552960, while the sum is 42.

The square root of 464454942 is about 21551.2167173921. The cubic root of 464454942 is about 774.4282662183.

The spelling of 464454942 in words is "four hundred sixty-four million, four hundred fifty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1021 2042 3063 6126 7147 10831 14294 21441 21662 32493 42882 64986 75817 151634 227451 454902 11058451 22116902 33175353 66350706 77409157 154818314 232227471 464454942