Search a number
-
+
46077312 = 273119993
BaseRepresentation
bin1010111111000…
…1010110000000
310012200222012010
42233301112000
543243433222
64323332520
71066436121
oct257612600
9105628163
1046077312
1124011626
1213521140
139713aa8
146196048
1540a280c
hex2bf1580

46077312 has 32 divisors (see below), whose sum is σ = 122393880. Its totient is φ = 15358976.

The previous prime is 46077287. The next prime is 46077313. The reversal of 46077312 is 21377064.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×460773122 = 4246237362290688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46077312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46077313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59613 + ... + 60380.

Almost surely, 246077312 is an apocalyptic number.

It is an amenable number.

46077312 is an abundant number, since it is smaller than the sum of its proper divisors (76316568).

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

46077312 is a wasteful number, since it uses less digits than its factorization.

46077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120010 (or 119998 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 46077312 is about 6788.0271066047. The cubic root of 46077312 is about 358.5054085150.

The spelling of 46077312 in words is "forty-six million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 119993 239986 359979 479972 719958 959944 1439916 1919888 2879832 3839776 5759664 7679552 11519328 15359104 23038656 46077312