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55088560 = 245372503
BaseRepresentation
bin1101001000100…
…1010110110000
310211122210022001
43102021112300
5103100313220
65244423344
71236150022
oct322112660
9124583261
1055088560
112910693a
1216547b54
13b54a5a7
147460012
154c8280a
hex34895b0

55088560 has 60 divisors (see below), whose sum is σ = 131897808. Its totient is φ = 21397248.

The previous prime is 55088557. The next prime is 55088639. The reversal of 55088560 is 6588055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109269 + ... + 109771.

Almost surely, 255088560 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 55088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65948904).

55088560 is an abundant number, since it is smaller than the sum of its proper divisors (76809248).

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

55088560 is a wasteful number, since it uses less digits than its factorization.

55088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 55088560 is about 7422.1667995269. The cubic root of 55088560 is about 380.4992514503.

The spelling of 55088560 in words is "fifty-five million, eighty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 503 592 740 1006 1369 1480 2012 2515 2738 2960 4024 5030 5476 6845 8048 10060 10952 13690 18611 20120 21904 27380 37222 40240 54760 74444 93055 109520 148888 186110 297776 372220 688607 744440 1377214 1488880 2754428 3443035 5508856 6886070 11017712 13772140 27544280 55088560