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55056480 = 2535234987
BaseRepresentation
bin1101001000000…
…1100001100000
310211121011021220
43102001201200
5103043301410
65244015040
71235654343
oct322014140
9124534256
1055056480
1129094826
1216531480
13b538acb
14745245a
154c78070
hex3481860

55056480 has 96 divisors (see below), whose sum is σ = 181004544. Its totient is φ = 14040576.

The previous prime is 55056479. The next prime is 55056493. The reversal of 55056480 is 8465055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 8547 + ... + 13533.

It is an arithmetic number, because the mean of its divisors is an integer number (1885464).

Almost surely, 255056480 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 55056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90502272).

55056480 is an abundant number, since it is smaller than the sum of its proper divisors (125948064).

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

55056480 is a wasteful number, since it uses less digits than its factorization.

55056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55056480 is about 7420.0053908336. The cubic root of 55056480 is about 380.4253777570.

The spelling of 55056480 in words is "fifty-five million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 4987 5520 9974 11040 14961 19948 24935 29922 39896 49870 59844 74805 79792 99740 114701 119688 149610 159584 199480 229402 239376 299220 344103 398960 458804 478752 573505 598440 688206 797920 917608 1147010 1196880 1376412 1720515 1835216 2294020 2393760 2752824 3441030 3670432 4588040 5505648 6882060 9176080 11011296 13764120 18352160 27528240 55056480