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55978740 = 22325353881
BaseRepresentation
bin1101010110001…
…0101011110100
310220100000101200
43111202223310
5103312304430
65315452500
71246545216
oct325425364
9126300350
1055978740
1129664724
12168b7130
13b79c81c
1476125b6
154dab460
hex3562af4

55978740 has 72 divisors (see below), whose sum is σ = 170476488. Its totient is φ = 14868480.

The previous prime is 55978723. The next prime is 55978751. The reversal of 55978740 is 4787955.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 55442916 = 732^2 + 7446^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63100 + ... + 63980.

It is an arithmetic number, because the mean of its divisors is an integer number (2367729).

Almost surely, 255978740 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 55978740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85238244).

55978740 is an abundant number, since it is smaller than the sum of its proper divisors (114497748).

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

55978740 is a wasteful number, since it uses less digits than its factorization.

55978740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 55978740 is about 7481.8941452015. The cubic root of 55978740 is about 382.5378150490.

The spelling of 55978740 in words is "fifty-five million, nine hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 881 1059 1412 1762 1765 2118 2643 3177 3524 3530 4236 4405 5286 5295 6354 7060 7929 8810 10572 10590 12708 13215 15858 15885 17620 21180 26430 31716 31770 39645 52860 63540 79290 158580 310993 621986 932979 1243972 1554965 1865958 2798937 3109930 3731916 4664895 5597874 6219860 9329790 11195748 13994685 18659580 27989370 55978740