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55774240 = 255359971
BaseRepresentation
bin1101010011000…
…0110000100000
310212221121212121
43110300300200
5103234233430
65311234024
71245034054
oct324606040
9125847777
1055774240
1129535015
1216818914
13b72a712
14759bc64
154d6aa7a
hex3530c20

55774240 has 48 divisors (see below), whose sum is σ = 132269760. Its totient is φ = 22224640.

The previous prime is 55774223. The next prime is 55774247. The reversal of 55774240 is 4247755.

It is a super-2 number, since 2×557742402 = 6221531695155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55774196 and 55774205.

It is not an unprimeable number, because it can be changed into a prime (55774247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56955 + ... + 57925.

It is an arithmetic number, because the mean of its divisors is an integer number (2755620).

Almost surely, 255774240 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 55774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66134880).

55774240 is an abundant number, since it is smaller than the sum of its proper divisors (76495520).

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

55774240 is a wasteful number, since it uses less digits than its factorization.

55774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 55774240 is about 7468.2153155891. The cubic root of 55774240 is about 382.0714210912.

The spelling of 55774240 in words is "fifty-five million, seven hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 971 1436 1795 1942 2872 3590 3884 4855 5744 7180 7768 9710 11488 14360 15536 19420 28720 31072 38840 57440 77680 155360 348589 697178 1394356 1742945 2788712 3485890 5577424 6971780 11154848 13943560 27887120 55774240