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2054774368 = 252341149457
BaseRepresentation
bin111101001111001…
…0101111001100000
312022012102100112101
41322132111321200
513202010234433
6535520540144
7101630202553
oct17236257140
95265370471
102054774368
11964959439
12494181654
1326991492a
14156c7669a
15c05d207d
hex7a795e60

2054774368 has 96 divisors (see below), whose sum is σ = 4362724800. Its totient is φ = 950231040.

The previous prime is 2054774357. The next prime is 2054774461. The reversal of 2054774368 is 8634774502.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4495996 + ... + 4496452.

It is an arithmetic number, because the mean of its divisors is an integer number (45445050).

Almost surely, 22054774368 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 2054774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181362400).

2054774368 is an abundant number, since it is smaller than the sum of its proper divisors (2307950432).

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

2054774368 is a wasteful number, since it uses less digits than its factorization.

2054774368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The square root of 2054774368 is about 45329.6191027456. The cubic root of 2054774368 is about 1271.3195139287.

The spelling of 2054774368 in words is "two billion, fifty-four million, seven hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 149 164 184 298 328 368 457 596 656 736 914 943 1192 1312 1828 1886 2384 3427 3656 3772 4768 6109 6854 7312 7544 10511 12218 13708 14624 15088 18737 21022 24436 27416 30176 37474 42044 48872 54832 68093 74948 84088 97744 109664 136186 140507 149896 168176 195488 272372 281014 299792 336352 430951 544744 562028 599584 861902 1089488 1124056 1566139 1723804 2178976 2248112 2791813 3132278 3447608 4496224 5583626 6264556 6895216 11167252 12529112 13790432 22334504 25058224 44669008 50116448 64211699 89338016 128423398 256846796 513693592 1027387184 2054774368