Search a number
-
+
46645728 = 253485893
BaseRepresentation
bin1011000111110…
…0000111100000
310020202211220120
42301330013200
543420130403
64343440240
71104324243
oct261740740
9106684816
1046645728
112436a698
1213756080
13988272c
1462a325a
154165e53
hex2c7c1e0

46645728 has 24 divisors (see below), whose sum is σ = 122445288. Its totient is φ = 15548544.

The previous prime is 46645727. The next prime is 46645733. The reversal of 46645728 is 82754664.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46645728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46645721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242851 + ... + 243042.

It is an arithmetic number, because the mean of its divisors is an integer number (5101887).

Almost surely, 246645728 is an apocalyptic number.

46645728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46645728 is an abundant number, since it is smaller than the sum of its proper divisors (75799560).

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

46645728 is a wasteful number, since it uses less digits than its factorization.

46645728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485906 (or 485898 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 46645728 is about 6829.7677852179. The cubic root of 46645728 is about 359.9735783078.

The spelling of 46645728 in words is "forty-six million, six hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 485893 971786 1457679 1943572 2915358 3887144 5830716 7774288 11661432 15548576 23322864 46645728