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55984940 = 22511397641
BaseRepresentation
bin1101010110010…
…0001100101100
310220100022220022
43111210030230
5103313004230
65315541312
71246602254
oct325441454
9126308808
1055984940
1129669350
12168ba838
13b7a25ab
147614964
154dad1e5
hex356432c

55984940 has 48 divisors (see below), whose sum is σ = 128780064. Its totient is φ = 20275200.

The previous prime is 55984939. The next prime is 55984979. The reversal of 55984940 is 4948955.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 55984891 and 55984900.

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, 87020 + ... + 87660.

It is an arithmetic number, because the mean of its divisors is an integer number (2682918).

Almost surely, 255984940 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 55984940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64390032).

55984940 is an abundant number, since it is smaller than the sum of its proper divisors (72795124).

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

55984940 is a wasteful number, since it uses less digits than its factorization.

55984940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 55984940 is about 7482.3084673114. The cubic root of 55984940 is about 382.5519373563.

The spelling of 55984940 in words is "fifty-five million, nine hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 641 794 1282 1588 1985 2564 3205 3970 4367 6410 7051 7940 8734 12820 14102 17468 21835 28204 35255 43670 70510 87340 141020 254477 508954 1017908 1272385 2544770 2799247 5089540 5598494 11196988 13996235 27992470 55984940