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46349140 = 22517235927
BaseRepresentation
bin1011000011001…
…1101101010100
310020012210001211
42300303231110
543331133030
64333231204
71101650455
oct260635524
9106183054
1046349140
1124187882
1213632504
1397aa736
14622712c
15410812a
hex2c33b54

46349140 has 48 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 16687616.

The previous prime is 46349129. The next prime is 46349159. The reversal of 46349140 is 4194364.

46349140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 10783.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 246349140 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 46349140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

46349140 is an abundant number, since it is smaller than the sum of its proper divisors (61208492).

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

46349140 is a wasteful number, since it uses less digits than its factorization.

46349140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 46349140 is about 6808.0202702401. The cubic root of 46349140 is about 359.2090143620.

The spelling of 46349140 in words is "forty-six million, three hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 5927 7820 11854 23708 29635 59270 100759 118540 136321 201518 272642 403036 503795 545284 681605 1007590 1363210 2015180 2317457 2726420 4634914 9269828 11587285 23174570 46349140