Search a number
-
+
46406364 = 22323277607
BaseRepresentation
bin1011000100000…
…1101011011100
310020022200120020
42301001223130
543340000424
64334352140
71102306344
oct261015334
9106280506
1046406364
1124216874
121365b650
1397ca7b4
14623dd24
15411a079
hex2c41adc

46406364 has 48 divisors (see below), whose sum is σ = 113584128. Its totient is φ = 14718528.

The previous prime is 46406363. The next prime is 46406431. The reversal of 46406364 is 46360464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46406363) 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, 76149 + ... + 76755.

It is an arithmetic number, because the mean of its divisors is an integer number (2366336).

Almost surely, 246406364 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 46406364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56792064).

46406364 is an abundant number, since it is smaller than the sum of its proper divisors (67177764).

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

46406364 is a wasteful number, since it uses less digits than its factorization.

46406364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 46406364 is about 6812.2216640388. The cubic root of 46406364 is about 359.3567835404.

The spelling of 46406364 in words is "forty-six million, four hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 277 554 607 831 1108 1214 1662 1821 2428 3324 3642 6371 7284 12742 13961 19113 25484 27922 38226 41883 55844 76452 83766 167532 168139 336278 504417 672556 1008834 2017668 3867197 7734394 11601591 15468788 23203182 46406364