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1952996094 = 23273121272
BaseRepresentation
bin111010001101000…
…0101101011111110
312001002220110222200
41310122011223332
512444431333334
6521443252330
766253123110
oct16432055376
95032813880
101952996094
11912462965
1246607a0a6
132517ca8ba
141475413b0
15b66ca799
hex74685afe

1952996094 has 108 divisors (see below), whose sum is σ = 5036678712. Its totient is φ = 535746960.

The previous prime is 1952996053. The next prime is 1952996137. The reversal of 1952996094 is 4906992591.

1952996094 is a `hidden beast` number, since 1 + 9 + 5 + 29 + 9 + 609 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1952996094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15377859 + ... + 15377985.

It is an arithmetic number, because the mean of its divisors is an integer number (46635914).

Almost surely, 21952996094 is an apocalyptic number.

1952996094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952996094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518339356).

1952996094 is an abundant number, since it is smaller than the sum of its proper divisors (3083682618).

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

1952996094 is a wasteful number, since it uses less digits than its factorization.

1952996094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 1952996094 is about 44192.7153951870. The cubic root of 1952996094 is about 1249.9724994483.

The spelling of 1952996094 in words is "one billion, nine hundred fifty-two million, nine hundred ninety-six thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 127 186 217 254 279 381 434 558 651 762 889 961 1143 1302 1778 1922 1953 2286 2667 2883 3906 3937 5334 5766 6727 7874 8001 8649 11811 13454 16002 16129 17298 20181 23622 27559 32258 35433 40362 48387 55118 60543 70866 82677 96774 112903 121086 122047 145161 165354 225806 244094 248031 290322 338709 366141 496062 499999 677418 732282 854329 999998 1016127 1098423 1499997 1708658 2032254 2196846 2562987 2999994 3499993 4499991 5125974 6999986 7688961 8999982 10499979 15377922 15499969 20999958 30999938 31499937 46499907 62999874 92999814 108499783 139499721 216999566 278999442 325499349 650998698 976498047 1952996094