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55595958 = 23112931937
BaseRepresentation
bin1101010000010…
…1001110110110
310212121120022120
43110011032312
5103213032313
65303340410
71243362225
oct324051666
9125546276
1055595958
1129423080
1216751706
13b697522
147552cbc
154d32d23
hex35053b6

55595958 has 64 divisors (see below), whose sum is σ = 129669120. Its totient is φ = 15724800.

The previous prime is 55595909. The next prime is 55595977. The reversal of 55595958 is 85959555.

55595958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55595958.

It is a congruent number.

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, 58866 + ... + 59802.

It is an arithmetic number, because the mean of its divisors is an integer number (2026080).

Almost surely, 255595958 is an apocalyptic number.

55595958 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55595958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64834560).

55595958 is an abundant number, since it is smaller than the sum of its proper divisors (74073162).

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

55595958 is a wasteful number, since it uses less digits than its factorization.

55595958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its digits is 2025000, while the sum is 51.

The square root of 55595958 is about 7456.2697107870. The cubic root of 55595958 is about 381.6638902777.

The spelling of 55595958 in words is "fifty-five million, five hundred ninety-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 937 957 1023 1798 1874 1914 2046 2697 2811 5394 5622 9889 10307 19778 20614 27173 29047 29667 30921 54346 58094 59334 61842 81519 87141 163038 174282 298903 319517 597806 639034 842363 896709 958551 1684726 1793418 1917102 2527089 5054178 9265993 18531986 27797979 55595958