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54400612 = 22717234969
BaseRepresentation
bin1100111110000…
…1011001100100
310210100211121111
43033201121210
5102411304422
65221554404
71230253240
oct317413144
9123324544
1054400612
1128786a92
1216275a04
13b369416
147321420
154b98a77
hex33e1664

54400612 has 48 divisors (see below), whose sum is σ = 120234240. Its totient is φ = 20984832.

The previous prime is 54400579. The next prime is 54400613. The reversal of 54400612 is 21600445.

54400612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54400612 is a modest number, since divided by 612 gives 544 as remainder.

It is not an unprimeable number, because it can be changed into a prime (54400613) by changing a digit.

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, 8464 + ... + 13432.

It is an arithmetic number, because the mean of its divisors is an integer number (2504880).

Almost surely, 254400612 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 54400612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117120).

54400612 is an abundant number, since it is smaller than the sum of its proper divisors (65833628).

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

54400612 is a wasteful number, since it uses less digits than its factorization.

54400612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54400612 is about 7375.6770536677. The cubic root of 54400612 is about 378.9087157714.

The spelling of 54400612 in words is "fifty-four million, four hundred thousand, six hundred twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 4969 5474 9938 10948 19876 34783 69566 84473 114287 139132 168946 228574 337892 457148 591311 800009 1182622 1600018 1942879 2365244 3200036 3885758 7771516 13600153 27200306 54400612