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55055008 = 25192331127
BaseRepresentation
bin1101001000000…
…1001010100000
310211121002021101
43102001022200
5103043230013
65244004144
71235650141
oct322011240
9124532241
1055055008
1129093708
1216530654
13b538238
147451ac8
154c778dd
hex34812a0

55055008 has 96 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 23950080.

The previous prime is 55054973. The next prime is 55055009. The reversal of 55055008 is 80055055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433441 + ... + 433567.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 255055008 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 55055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

55055008 is an abundant number, since it is smaller than the sum of its proper divisors (68808032).

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

55055008 is a wasteful number, since it uses less digits than its factorization.

55055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 55055008 is about 7419.9061988680. The cubic root of 55055008 is about 380.4219873529.

The spelling of 55055008 in words is "fifty-five million, fifty-five thousand, eight".

Divisors: 1 2 4 8 16 19 23 31 32 38 46 62 76 92 124 127 152 184 248 254 304 368 437 496 508 589 608 713 736 874 992 1016 1178 1426 1748 2032 2356 2413 2852 2921 3496 3937 4064 4712 4826 5704 5842 6992 7874 9424 9652 11408 11684 13547 13984 15748 18848 19304 22816 23368 27094 31496 38608 46736 54188 55499 62992 74803 77216 90551 93472 108376 110998 125984 149606 181102 216752 221996 299212 362204 433504 443992 598424 724408 887984 1196848 1448816 1720469 1775968 2393696 2897632 3440938 6881876 13763752 27527504 55055008