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1392290928 = 243272947629
BaseRepresentation
bin101001011111100…
…1010110001110000
310121000211201002200
41102333022301300
510322411302203
6350053343200
746334164140
oct12277126160
93530751080
101392290928
11654a03866
1232a337b00
131925ac8b2
14d2ca6920
15823709a3
hex52fcac70

1392290928 has 120 divisors (see below), whose sum is σ = 4606773600. Its totient is φ = 384072192.

The previous prime is 1392290897. The next prime is 1392290971. The reversal of 1392290928 is 8290922931.

It is a happy number.

It is a super-2 number, since 2×13922909282 = 3876948056382202368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418 + ... + 53046.

It is an arithmetic number, because the mean of its divisors is an integer number (38389780).

Almost surely, 21392290928 is an apocalyptic number.

1392290928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392290928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303386800).

1392290928 is an abundant number, since it is smaller than the sum of its proper divisors (3214482672).

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

1392290928 is a wasteful number, since it uses less digits than its factorization.

1392290928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47679 (or 47670 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1392290928 is about 37313.4148531061. The cubic root of 1392290928 is about 1116.6318155109.

The spelling of 1392290928 in words is "one billion, three hundred ninety-two million, two hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 47629 95258 142887 190516 285774 333403 381032 428661 571548 666806 762064 857322 1000209 1143096 1333612 1381241 1714644 2000418 2286192 2667224 2762482 3000627 3429288 4000836 4143723 5334448 5524964 6001254 6858576 8001672 8287446 9668687 11049928 12002508 12431169 16003344 16574892 19337374 22099856 24005016 24862338 29006061 33149784 38674748 48010032 49724676 58012122 66299568 77349496 87018183 99449352 116024244 154698992 174036366 198898704 232048488 348072732 464096976 696145464 1392290928