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104772992 = 271967643
BaseRepresentation
bin1100011111010…
…11010110000000
321022011000112012
412033223112000
5203310213432
614221352052
72411361422
oct617532600
9238130465
10104772992
1154161555
122b108628
131892516c
14dcb4812
1592e8cb2
hex63eb580

104772992 has 64 divisors (see below), whose sum is σ = 223339200. Its totient is φ = 48812544.

The previous prime is 104772979. The next prime is 104773001. The reversal of 104772992 is 299277401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162623 + ... + 163265.

It is an arithmetic number, because the mean of its divisors is an integer number (3489675).

Almost surely, 2104772992 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 104772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111669600).

104772992 is an abundant number, since it is smaller than the sum of its proper divisors (118566208).

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

104772992 is an equidigital number, since it uses as much as digits as its factorization.

104772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 104772992 is about 10235.8679163029. The cubic root of 104772992 is about 471.4291672387.

The spelling of 104772992 in words is "one hundred four million, seven hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 268 304 536 608 643 1072 1216 1273 1286 2144 2432 2546 2572 4288 5092 5144 8576 10184 10288 12217 20368 20576 24434 40736 41152 43081 48868 81472 82304 86162 97736 162944 172324 195472 344648 390944 689296 781888 818539 1378592 1563776 1637078 2757184 3274156 5514368 6548312 13096624 26193248 52386496 104772992