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2053955034 = 232316160343
BaseRepresentation
bin111101001101100…
…1101110111011010
312022010212201121200
41322123031313122
513201303030114
6535451215030
7101620221045
oct17233156732
95263781550
102053955034
119644498aa
12493a47476
132696b8a11
14156b01c5c
15c04be409
hex7a6cddda

2053955034 has 48 divisors (see below), whose sum is σ = 4669177344. Its totient is φ = 651693600.

The previous prime is 2053955021. The next prime is 2053955069. The reversal of 2053955034 is 4305593502.

2053955034 is a `hidden beast` number, since 20 + 53 + 9 + 550 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2053955034.

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, 3867 + ... + 64209.

It is an arithmetic number, because the mean of its divisors is an integer number (97274528).

Almost surely, 22053955034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053955034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334588672).

2053955034 is an abundant number, since it is smaller than the sum of its proper divisors (2615222310).

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

2053955034 is a wasteful number, since it uses less digits than its factorization.

2053955034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60443 (or 60440 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 2053955034 is about 45320.5806891306. The cubic root of 2053955034 is about 1271.1505134131.

The spelling of 2053955034 in words is "two billion, fifty-three million, nine hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3782 5673 11346 17019 34038 60343 120686 181029 362058 543087 1086174 1870633 3680923 3741266 5611899 7361846 11042769 11223798 16835697 22085538 33128307 33671394 66256614 114108613 228217226 342325839 684651678 1026977517 2053955034