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55724640 = 2535176829
BaseRepresentation
bin1101010010010…
…0101001100000
310212212002211120
43110210221200
5103231142030
65310212240
71244436336
oct324445140
9125762746
1055724640
1129500824
12167b4080
13b710c7a
147587b56
154d5b010
hex3524a60

55724640 has 96 divisors (see below), whose sum is σ = 185885280. Its totient is φ = 13983744.

The previous prime is 55724633. The next prime is 55724693. The reversal of 55724640 is 4642755.

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, 4746 + ... + 11574.

It is an arithmetic number, because the mean of its divisors is an integer number (1936305).

Almost surely, 255724640 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 55724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92942640).

55724640 is an abundant number, since it is smaller than the sum of its proper divisors (130160640).

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

55724640 is a wasteful number, since it uses less digits than its factorization.

55724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 55724640 is about 7464.8938371554. The cubic root of 55724640 is about 381.9581288683.

The spelling of 55724640 in words is "fifty-five million, seven hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 6829 8160 13658 20487 27316 34145 40974 54632 68290 81948 102435 109264 116093 136580 163896 204870 218528 232186 273160 327792 348279 409740 464372 546320 580465 655584 696558 819480 928744 1092640 1160930 1393116 1638960 1741395 1857488 2321860 2786232 3277920 3482790 3714976 4643720 5572464 6965580 9287440 11144928 13931160 18574880 27862320 55724640