Search a number
-
+
55875820 = 225711132791
BaseRepresentation
bin1101010100100…
…1100011101100
310220010210012211
43111021203230
5103301011240
65313340204
71245636160
oct325114354
9126123184
1055875820
11295a4370
1216867664
13b764a20
1475c6ca0
154d8abea
hex35498ec

55875820 has 96 divisors (see below), whose sum is σ = 157602816. Its totient is φ = 16070400.

The previous prime is 55875811. The next prime is 55875839. The reversal of 55875820 is 2857855.

55875820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18625 + ... + 21415.

It is an arithmetic number, because the mean of its divisors is an integer number (1641696).

Almost surely, 255875820 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 55875820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78801408).

55875820 is an abundant number, since it is smaller than the sum of its proper divisors (101726996).

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

55875820 is a wasteful number, since it uses less digits than its factorization.

55875820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 55875820 is about 7475.0130434669. The cubic root of 55875820 is about 382.3032322708.

The spelling of 55875820 in words is "fifty-five million, eight hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2791 2860 4004 5005 5582 10010 11164 13955 19537 20020 27910 30701 36283 39074 55820 61402 72566 78148 97685 122804 145132 153505 181415 195370 214907 253981 307010 362830 390740 399113 429814 507962 614020 725660 798226 859628 1015924 1074535 1269905 1596452 1995565 2149070 2539810 2793791 3991130 4298140 5079620 5587582 7982260 11175164 13968955 27937910 55875820