Search a number
-
+
46010944 = 267313313
BaseRepresentation
bin1010111110000…
…1001001000000
310012120121011001
42233201021000
543234322234
64322101344
71066041460
oct257411100
9105517131
1046010944
1123a76781
12134aa854
1396bc815
146179ba0
15408cd14
hex2be1240

46010944 has 56 divisors (see below), whose sum is σ = 107744768. Its totient is φ = 19077120.

The previous prime is 46010933. The next prime is 46010969. The reversal of 46010944 is 44901064.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×460109442 = 4234013935542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 12232 + ... + 15544.

Almost surely, 246010944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53872384).

46010944 is an abundant number, since it is smaller than the sum of its proper divisors (61733824).

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

46010944 is a wasteful number, since it uses less digits than its factorization.

46010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 46010944 is about 6783.1367375279. The cubic root of 46010944 is about 358.3331999759. Note that the first 3 decimals are identical.

The spelling of 46010944 in words is "forty-six million, ten thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3313 3472 6626 6944 13252 13888 23191 26504 46382 53008 92764 102703 106016 185528 205406 212032 371056 410812 718921 742112 821624 1437842 1484224 1643248 2875684 3286496 5751368 6572992 11502736 23005472 46010944