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1920250944 = 26328633863
BaseRepresentation
bin111001001110100…
…1011010001000000
311221211021212002100
41302131023101000
512413041012234
6514313350400
765404602153
oct16235132100
94854255070
101920250944
118a5a27a57
12457108400
13247aa4281
14143059c9a
15b38ad399
hex7274b440

1920250944 has 84 divisors (see below), whose sum is σ = 5511856896. Its totient is φ = 639176448.

The previous prime is 1920250919. The next prime is 1920251009. The reversal of 1920250944 is 4490520291.

It is a super-2 number, since 2×19202509442 = 7374727375865782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1920250899 and 1920250908.

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 11 ways as a sum of consecutive naturals, for example, 495157 + ... + 499019.

It is an arithmetic number, because the mean of its divisors is an integer number (65617344).

Almost surely, 21920250944 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 1920250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755928448).

1920250944 is an abundant number, since it is smaller than the sum of its proper divisors (3591605952).

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

1920250944 is a wasteful number, since it uses less digits than its factorization.

1920250944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1920250944 is about 43820.6680003854. The cubic root of 1920250944 is about 1242.9471487278.

The spelling of 1920250944 in words is "one billion, nine hundred twenty million, two hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 863 1726 2589 3452 3863 5178 6904 7726 7767 10356 11589 13808 15452 15534 20712 23178 27616 30904 31068 34767 41424 46356 55232 61808 62136 69534 82848 92712 123616 124272 139068 165696 185424 247232 248544 278136 370848 497088 556272 741696 1112544 2225088 3333769 6667538 10001307 13335076 20002614 26670152 30003921 40005228 53340304 60007842 80010456 106680608 120015684 160020912 213361216 240031368 320041824 480062736 640083648 960125472 1920250944