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46138768 = 2413297649
BaseRepresentation
bin1011000000000…
…0010110010000
310012211002111021
42300000112100
543302420033
64324525224
71100113234
oct260002620
9105732437
1046138768
1124053815
1213550814
139735a60
1461b05c4
1540b5b2d
hex2c00590

46138768 has 40 divisors (see below), whose sum is σ = 99603000. Its totient is φ = 20557824.

The previous prime is 46138751. The next prime is 46138789. The reversal of 46138768 is 86783164.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 45859984 = 528^2 + 6772^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 9856.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 246138768 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 46138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801500).

46138768 is an abundant number, since it is smaller than the sum of its proper divisors (53464232).

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

46138768 is a wasteful number, since it uses less digits than its factorization.

46138768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 46138768 is about 6792.5523921424. The cubic root of 46138768 is about 358.6647242347.

The spelling of 46138768 in words is "forty-six million, one hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 7649 15298 30596 61192 99437 122384 198874 221821 397748 443642 795496 887284 1590992 1774568 2883673 3549136 5767346 11534692 23069384 46138768