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46728612 = 223271071733
BaseRepresentation
bin1011001001000…
…0010110100100
310020221001121100
42302100112210
543430303422
64345320100
71105121010
oct262202644
9106831540
1046728612
1124416997
1213796030
1398b1388
1462c5540
1541807ac
hex2c905a4

46728612 has 72 divisors (see below), whose sum is σ = 136334016. Its totient is φ = 13218624.

The previous prime is 46728607. The next prime is 46728613. The reversal of 46728612 is 21682764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46728613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26098 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528).

Almost surely, 246728612 is an apocalyptic number.

46728612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46728612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68167008).

46728612 is an abundant number, since it is smaller than the sum of its proper divisors (89605404).

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

46728612 is a wasteful number, since it uses less digits than its factorization.

46728612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1852 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 46728612 is about 6835.8329412004. The cubic root of 46728612 is about 360.1866624568.

The spelling of 46728612 in words is "forty-six million, seven hundred twenty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1733 1926 2247 2996 3466 3852 4494 5199 6741 6932 8988 10398 12131 13482 15597 20796 24262 26964 31194 36393 48524 62388 72786 109179 145572 185431 218358 370862 436716 556293 741724 1112586 1298017 1668879 2225172 2596034 3337758 3894051 5192068 6675516 7788102 11682153 15576204 23364306 46728612