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55477920 = 2535412819
BaseRepresentation
bin1101001110100…
…0011010100000
310212101120101210
43103220122200
5103200243140
65301030120
71242361131
oct323503240
9125346353
1055477920
1129352423
12166b5340
13b655894
147521c88
154d0cd80
hex34e86a0

55477920 has 96 divisors (see below), whose sum is σ = 179081280. Its totient is φ = 14428160.

The previous prime is 55477913. The next prime is 55477921. The reversal of 55477920 is 2977455.

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

It is not an unprimeable number, because it can be changed into a prime (55477921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18271 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (1865430).

Almost surely, 255477920 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 55477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640).

55477920 is an abundant number, since it is smaller than the sum of its proper divisors (123603360).

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

55477920 is a wasteful number, since it uses less digits than its factorization.

55477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 55477920 is about 7448.3501528862. The cubic root of 55477920 is about 381.3935902736.

The spelling of 55477920 in words is "fifty-five million, four hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 2819 3280 3936 4920 5638 6560 8457 9840 11276 14095 16914 19680 22552 28190 33828 42285 45104 56380 67656 84570 90208 112760 115579 135312 169140 225520 231158 270624 338280 346737 451040 462316 577895 676560 693474 924632 1155790 1353120 1386948 1733685 1849264 2311580 2773896 3467370 3698528 4623160 5547792 6934740 9246320 11095584 13869480 18492640 27738960 55477920