Search a number
-
+
6273920928 = 253115941213
BaseRepresentation
bin1011101011111010…
…00110111110100000
3121012020111012112210
411311331012332200
5100322110432203
62514315522120
7311321306442
oct56575067640
917166435483
106273920928
11272a512720
121271159340
1378ca65462
14437354492
1526abe4803
hex175f46fa0

6273920928 has 48 divisors (see below), whose sum is σ = 17966231136. Its totient is φ = 1901187840.

The previous prime is 6273920927. The next prime is 6273920971. The reversal of 6273920928 is 8290293726.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6273920923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2969551 + ... + 2971662.

It is an arithmetic number, because the mean of its divisors is an integer number (374296482).

Almost surely, 26273920928 is an apocalyptic number.

It is an amenable number.

6273920928 is an abundant number, since it is smaller than the sum of its proper divisors (11692310208).

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

6273920928 is a wasteful number, since it uses less digits than its factorization.

6273920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941237 (or 5941229 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 6273920928 is about 79208.0862538668. The cubic root of 6273920928 is about 1844.3627696333.

The spelling of 6273920928 in words is "six billion, two hundred seventy-three million, nine hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5941213 11882426 17823639 23764852 35647278 47529704 65353343 71294556 95059408 130706686 142589112 190118816 196060029 261413372 285178224 392120058 522826744 570356448 784240116 1045653488 1568480232 2091306976 3136960464 6273920928