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1292928384 = 27311306091
BaseRepresentation
bin100110100010000…
…1000010110000000
310100002212120022110
41031010020112000
510121442202014
6332143535320
744016465336
oct11504102600
93302776273
101292928384
11603908260
12300bba540
13177b302a7
14c39ddb56
1578794d59
hex4d108580

1292928384 has 64 divisors (see below), whose sum is σ = 3746566080. Its totient is φ = 391795200.

The previous prime is 1292928383. The next prime is 1292928443. The reversal of 1292928384 is 4838292921.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292928383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148822 + ... + 157269.

It is an arithmetic number, because the mean of its divisors is an integer number (58540095).

Almost surely, 21292928384 is an apocalyptic number.

It is an amenable number.

1292928384 is an abundant number, since it is smaller than the sum of its proper divisors (2453637696).

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

1292928384 is a wasteful number, since it uses less digits than its factorization.

1292928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306119 (or 306107 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1292928384 is about 35957.3133590373. The cubic root of 1292928384 is about 1089.4103322391.

The spelling of 1292928384 in words is "one billion, two hundred ninety-two million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 306091 612182 918273 1224364 1836546 2448728 3367001 3673092 4897456 6734002 7346184 9794912 10101003 13468004 14692368 19589824 20202006 26936008 29384736 39179648 40404012 53872016 58769472 80808024 107744032 117538944 161616048 215488064 323232096 430976128 646464192 1292928384