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55621680 = 2435474931
BaseRepresentation
bin1101010000101…
…1100000110000
310212122212121020
43110023200300
5103214343210
65304055440
71243530222
oct324134060
9125585536
1055621680
1129440434
1216764580
13b6a614a
14755c412
154d3a770
hex350b830

55621680 has 80 divisors (see below), whose sum is σ = 176131584. Its totient is φ = 14513920.

The previous prime is 55621679. The next prime is 55621697. The reversal of 55621680 is 8612655.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815 + ... + 13745.

Almost surely, 255621680 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 55621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88065792).

55621680 is an abundant number, since it is smaller than the sum of its proper divisors (120509904).

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

55621680 is a wasteful number, since it uses less digits than its factorization.

55621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 55621680 is about 7457.9943684613. The cubic root of 55621680 is about 381.7227413484.

The spelling of 55621680 in words is "fifty-five million, six hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 4931 5640 9862 11280 14793 19724 24655 29586 39448 49310 59172 73965 78896 98620 118344 147930 197240 231757 236688 295860 394480 463514 591720 695271 927028 1158785 1183440 1390542 1854056 2317570 2781084 3476355 3708112 4635140 5562168 6952710 9270280 11124336 13905420 18540560 27810840 55621680