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55510656 = 273373907
BaseRepresentation
bin1101001111000…
…0011010000000
310212110020022020
43103300122000
5103202320111
65301441440
71242555435
oct323603200
9125406266
1055510656
1129374a83
1216710280
13b667756
14752db8c
154d17906
hex34f0680

55510656 has 64 divisors (see below), whose sum is σ = 151474080. Its totient is φ = 17998848.

The previous prime is 55510643. The next prime is 55510657. The reversal of 55510656 is 65601555.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (55510657) 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, 12255 + ... + 16161.

Almost surely, 255510656 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 55510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75737040).

55510656 is an abundant number, since it is smaller than the sum of its proper divisors (95963424).

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

55510656 is a wasteful number, since it uses less digits than its factorization.

55510656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 55510656 is about 7450.5473624426. The cubic root of 55510656 is about 381.4685921580.

It can be divided in two parts, 555 and 10656, that added together give a palindrome (11211).

The spelling of 55510656 in words is "fifty-five million, five hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 3907 4736 7104 7814 11721 14208 15628 23442 31256 46884 62512 93768 125024 144559 187536 250048 289118 375072 433677 500096 578236 750144 867354 1156472 1500288 1734708 2312944 3469416 4625888 6938832 9251776 13877664 18503552 27755328 55510656