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104792292 = 2239113
BaseRepresentation
bin1100011111100…
…00000011100100
321022012000000000
412033300003210
5203311323132
614222021300
72411501613
oct617600344
9238160000
10104792292
1154175000
122b117830
1318930b97
14dcbb87a
1592ee87c
hex63f00e4

104792292 has 120 divisors (see below), whose sum is σ = 302561952. Its totient is φ = 31755240.

The previous prime is 104792291. The next prime is 104792293. The reversal of 104792292 is 292297401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (104792291) and next prime (104792293).

It is a super-2 number, since 2×1047922922 = 21962848925226528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104792291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9526567 + ... + 9526577.

Almost surely, 2104792292 is an apocalyptic number.

104792292 is a gapful number since it is divisible by the number (12) 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 104792292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151280976).

104792292 is an abundant number, since it is smaller than the sum of its proper divisors (197769660).

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

104792292 is an frugal number, since it uses more digits than its factorization.

104792292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104792292 is about 10236.8106361308. The cubic root of 104792292 is about 471.4581124346.

It can be divided in two parts, 1047 and 92292, that added together give a palindrome (93339).

The spelling of 104792292 in words is "one hundred four million, seven hundred ninety-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 729 891 972 1089 1188 1331 1452 1458 1782 2178 2187 2662 2673 2916 3267 3564 3993 4356 4374 5324 5346 6534 6561 7986 8019 8748 9801 10692 11979 13068 13122 15972 16038 19602 19683 23958 24057 26244 29403 32076 35937 39204 39366 47916 48114 58806 71874 72171 78732 88209 96228 107811 117612 143748 144342 176418 215622 216513 264627 288684 323433 352836 431244 433026 529254 646866 793881 866052 970299 1058508 1293732 1587762 1940598 2381643 2910897 3175524 3881196 4763286 5821794 8732691 9526572 11643588 17465382 26198073 34930764 52396146 104792292