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55572880 = 2451125741
BaseRepresentation
bin1101001111111…
…1100110010000
310212120101122211
43103333212100
5103211313010
65303041504
71243235026
oct323774620
9125511584
1055572880
1129407800
1216740294
13b689b7c
147548716
154d2b08a
hex34ff990

55572880 has 60 divisors (see below), whose sum is σ = 142045596. Its totient is φ = 20204800.

The previous prime is 55572857. The next prime is 55572883. The reversal of 55572880 is 8827555.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 31719424 = 4884^2 + 5632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55572883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6810 + ... + 12550.

Almost surely, 255572880 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 55572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71022798).

55572880 is an abundant number, since it is smaller than the sum of its proper divisors (86472716).

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

55572880 is a wasteful number, since it uses less digits than its factorization.

55572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 55572880 is about 7454.7219934750. The cubic root of 55572880 is about 381.6110731389.

The spelling of 55572880 in words is "fifty-five million, five hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 5741 9680 11482 22964 28705 45928 57410 63151 91856 114820 126302 229640 252604 315755 459280 505208 631510 694661 1010416 1263020 1389322 2526040 2778644 3473305 5052080 5557288 6946610 11114576 13893220 27786440 55572880