Search a number
-
+
465842928 = 24371136691
BaseRepresentation
bin11011110001000…
…011001011110000
31012110120021100210
4123301003023300
51423223433203
6114120344120
714354412435
oct3361031360
91173507323
10465842928
11219a57761
12110015040
1375685c05
1445c23b8c
152ad6c803
hex1bc432f0

465842928 has 40 divisors (see below), whose sum is σ = 1220386176. Its totient is φ = 153092800.

The previous prime is 465842911. The next prime is 465842929. The reversal of 465842928 is 829248564.

It is a happy number.

It is a super-2 number, since 2×4658429282 = 434019267135226368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465842929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64938 + ... + 71753.

Almost surely, 2465842928 is an apocalyptic number.

465842928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465842928 is an abundant number, since it is smaller than the sum of its proper divisors (754543248).

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

465842928 is a wasteful number, since it uses less digits than its factorization.

465842928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136773 (or 136767 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 465842928 is about 21583.3947283554. The cubic root of 465842928 is about 775.1989377606.

It can be divided in two parts, 4658 and 42928, that added together give a triangular number (47586 = T308).

The spelling of 465842928 in words is "four hundred sixty-five million, eight hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 136691 273382 410073 546764 820146 1093528 1640292 2187056 3280584 6561168 9705061 19410122 29115183 38820244 58230366 77640488 116460732 155280976 232921464 465842928