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55654920 = 23325314987
BaseRepresentation
bin1101010001001…
…1101000001000
310212201120012100
43110103220020
5103221424140
65304513400
71244026146
oct324235010
9125646170
1055654920
1129463402
121677b860
13b6b8309
14756a596
154d45530
hex3513a08

55654920 has 96 divisors (see below), whose sum is σ = 186750720. Its totient is φ = 14359680.

The previous prime is 55654913. The next prime is 55654931. The reversal of 55654920 is 2945655.

55654920 is a `hidden beast` number, since 5 + 565 + 4 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8667 + ... + 13653.

It is an arithmetic number, because the mean of its divisors is an integer number (1945320).

Almost surely, 255654920 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 55654920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93375360).

55654920 is an abundant number, since it is smaller than the sum of its proper divisors (131095800).

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

55654920 is a wasteful number, since it uses less digits than its factorization.

55654920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55654920 is about 7460.2225167886. Note that the first 3 decimals coincide. The cubic root of 55654920 is about 381.7987664834.

The spelling of 55654920 in words is "fifty-five million, six hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 4987 5580 9974 11160 14961 19948 24935 29922 39896 44883 49870 59844 74805 89766 99740 119688 149610 154597 179532 199480 224415 299220 309194 359064 448830 463791 598440 618388 772985 897660 927582 1236776 1391373 1545970 1795320 1855164 2318955 2782746 3091940 3710328 4637910 5565492 6183880 6956865 9275820 11130984 13913730 18551640 27827460 55654920