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55631440 = 2456797107
BaseRepresentation
bin1101010000110…
…1111001010000
310212200100222201
43110031321100
5103220201230
65304212544
71243600534
oct324157120
9125610881
1055631440
11294477a7
121676a154
13b6aa717
147561bc4
154d3d5ca
hex350de50

55631440 has 80 divisors (see below), whose sum is σ = 133866432. Its totient is φ = 21491712.

The previous prime is 55631431. The next prime is 55631441. The reversal of 55631440 is 4413655.

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

It is a junction number, because it is equal to n+sod(n) for n = 55631399 and 55631408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55631441) 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, 519867 + ... + 519973.

Almost surely, 255631440 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 55631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66933216).

55631440 is an abundant number, since it is smaller than the sum of its proper divisors (78234992).

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

55631440 is a wasteful number, since it uses less digits than its factorization.

55631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 55631440 is about 7458.6486711736. The cubic root of 55631440 is about 381.7450671518.

The spelling of 55631440 in words is "fifty-five million, six hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 97 107 134 194 214 268 335 388 428 485 535 536 670 776 856 970 1070 1072 1340 1552 1712 1940 2140 2680 3880 4280 5360 6499 7169 7760 8560 10379 12998 14338 20758 25996 28676 32495 35845 41516 51895 51992 57352 64990 71690 83032 103790 103984 114704 129980 143380 166064 207580 259960 286760 415160 519920 573520 695393 830320 1390786 2781572 3476965 5563144 6953930 11126288 13907860 27815720 55631440