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46374016 = 271329312
BaseRepresentation
bin1011000011100…
…1110010000000
310020021001012011
42300321302000
543332432031
64333542304
71102113133
oct260716200
9106231164
1046374016
11241a4537
1213644994
1397b8b60
14623221a
1541106b1
hex2c39c80

46374016 has 96 divisors (see below), whose sum is σ = 106350300. Its totient is φ = 19998720.

The previous prime is 46373959. The next prime is 46374017. The reversal of 46374016 is 61047364.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 1537600 = 6696^2 + 1240^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (46374017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495921 + ... + 1495951.

Almost surely, 246374016 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 46374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53175150).

46374016 is an abundant number, since it is smaller than the sum of its proper divisors (59976284).

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

46374016 is a wasteful number, since it uses less digits than its factorization.

46374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 46374016 is about 6809.8469880020. The cubic root of 46374016 is about 359.2732664373.

The spelling of 46374016 in words is "forty-six million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 62 64 104 116 124 128 208 232 248 377 403 416 464 496 754 806 832 899 928 961 992 1508 1612 1664 1798 1856 1922 1984 3016 3224 3596 3712 3844 3968 6032 6448 7192 7688 11687 12064 12493 12896 14384 15376 23374 24128 24986 25792 27869 28768 30752 46748 48256 49972 51584 55738 57536 61504 93496 99944 111476 115072 123008 186992 199888 222952 362297 373984 399776 445904 724594 747968 799552 891808 1449188 1495936 1599104 1783616 2898376 3567232 5796752 11593504 23187008 46374016