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2056404252 = 2237174872957
BaseRepresentation
bin111101010010010…
…0011110100011100
312022022111011022110
41322210203310130
513202414414002
6540015514020
7101650101450
oct17244436434
95268434273
102056404252
11965871a51
12494828910
1326a065766
1415717c660
15c0804e6c
hex7a923d1c

2056404252 has 96 divisors (see below), whose sum is σ = 5820208128. Its totient is φ = 551660544.

The previous prime is 2056404227. The next prime is 2056404271. The reversal of 2056404252 is 2524046502.

It is a happy number.

2056404252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693958 + ... + 696914.

It is an arithmetic number, because the mean of its divisors is an integer number (60627168).

Almost surely, 22056404252 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 2056404252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910104064).

2056404252 is an abundant number, since it is smaller than the sum of its proper divisors (3763803876).

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

2056404252 is a wasteful number, since it uses less digits than its factorization.

2056404252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2056404252 is about 45347.5936737552. The cubic root of 2056404252 is about 1271.6555695936.

The spelling of 2056404252 in words is "two billion, fifty-six million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 487 714 974 1428 1461 1948 2922 2957 3409 5844 5914 6818 8279 8871 10227 11828 13636 16558 17742 20454 20699 24837 33116 35484 40908 41398 49674 50269 57953 62097 82796 99348 100538 115906 124194 150807 173859 201076 231812 248388 301614 347718 351883 603228 695436 703766 1055649 1407532 1440059 2111298 2880118 4222596 4320177 5760236 8640354 10080413 17280708 20160826 24481003 30241239 40321652 48962006 60482478 73443009 97924012 120964956 146886018 171367021 293772036 342734042 514101063 685468084 1028202126 2056404252