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1293892056 = 23349372131
BaseRepresentation
bin100110100011111…
…0011100111011000
310100011200112020000
41031013303213120
510122214021211
6332220333000
744030621022
oct11507634730
93304615200
101293892056
11604406286
123013a4160
131780a9b02
14c3bb1012
15788d5656
hex4d1f39d8

1293892056 has 80 divisors (see below), whose sum is σ = 3629666040. Its totient is φ = 430634880.

The previous prime is 1293892051. The next prime is 1293892069. The reversal of 1293892056 is 6502983921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293892051) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 606111 + ... + 608241.

Almost surely, 21293892056 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 1293892056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814833020).

1293892056 is an abundant number, since it is smaller than the sum of its proper divisors (2335773984).

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

1293892056 is a wasteful number, since it uses less digits than its factorization.

1293892056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1293892056 is about 35970.7110855485. The cubic root of 1293892056 is about 1089.6809256008.

The spelling of 1293892056 in words is "one billion, two hundred ninety-three million, eight hundred ninety-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 937 1874 2131 2811 3748 4262 5622 6393 7496 8433 8524 11244 12786 16866 17048 19179 22488 25299 25572 33732 38358 50598 51144 57537 67464 75897 76716 101196 115074 151794 153432 172611 202392 230148 303588 345222 460296 607176 690444 1380888 1996747 3993494 5990241 7986988 11980482 15973976 17970723 23960964 35941446 47921928 53912169 71882892 107824338 143765784 161736507 215648676 323473014 431297352 646946028 1293892056