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1054682328 = 233743831759
BaseRepresentation
bin111110110111010…
…010110011011000
32201111120102011110
4332313102303120
54124444313303
6252353300320
735064436410
oct7667226330
92644512143
101054682328
114a1382497
122552646a0
1313a6748ab
14a0103640
15628d3703
hex3edd2cd8

1054682328 has 128 divisors (see below), whose sum is σ = 3122380800. Its totient is φ = 290618496.

The previous prime is 1054682297. The next prime is 1054682339. The reversal of 1054682328 is 8232864501.

It is a super-2 number, since 2×10546823282 = 2224709625990999168, 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 31 ways as a sum of consecutive naturals, for example, 598713 + ... + 600471.

It is an arithmetic number, because the mean of its divisors is an integer number (24393600).

Almost surely, 21054682328 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 1054682328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561190400).

1054682328 is an abundant number, since it is smaller than the sum of its proper divisors (2067698472).

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

1054682328 is a wasteful number, since it uses less digits than its factorization.

1054682328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1054682328 is about 32475.8730136697. The cubic root of 1054682328 is about 1017.9049423427.

The spelling of 1054682328 in words is "one billion, fifty-four million, six hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 83 84 86 129 166 168 172 249 258 301 332 344 498 516 581 602 664 903 996 1032 1162 1204 1743 1759 1806 1992 2324 2408 3486 3518 3569 3612 4648 5277 6972 7036 7138 7224 10554 10707 12313 13944 14072 14276 21108 21414 24626 24983 28552 36939 42216 42828 49252 49966 73878 74949 75637 85656 98504 99932 145997 147756 149898 151274 199864 226911 291994 295512 299796 302548 437991 453822 529459 583988 599592 605096 875982 907644 1021979 1058918 1167976 1588377 1751964 1815288 2043958 2117836 3065937 3176754 3503928 4087916 4235672 6131874 6277871 6353508 8175832 12263748 12555742 12707016 18833613 24527496 25111484 37667226 43945097 50222968 75334452 87890194 131835291 150668904 175780388 263670582 351560776 527341164 1054682328