Search a number
-
+
91207944 = 2334413433
BaseRepresentation
bin1010110111110…
…11100100001000
320100121211210000
411123323210020
5141322123234
613014523000
72155153242
oct533734410
9210554700
1091207944
1147536973
1226666460
1315b859c9
14c183092
158019899
hex56fb908

91207944 has 80 divisors (see below), whose sum is σ = 261773820. Its totient is φ = 29652480.

The previous prime is 91207937. The next prime is 91207951. The reversal of 91207944 is 44970219.

It is an interprime number because it is at equal distance from previous prime (91207937) and next prime (91207951).

It can be written as a sum of positive squares in 2 ways, for example, as 79388100 + 11819844 = 8910^2 + 3438^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 91207899 and 91207908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24852 + ... + 28284.

Almost surely, 291207944 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 91207944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130886910).

91207944 is an abundant number, since it is smaller than the sum of its proper divisors (170565876).

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

91207944 is a wasteful number, since it uses less digits than its factorization.

91207944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

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

The square root of 91207944 is about 9550.2850219247. The cubic root of 91207944 is about 450.1364919290.

The spelling of 91207944 in words is "ninety-one million, two hundred seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 3433 4428 6642 6866 8856 10299 13284 13732 20598 26568 27464 30897 41196 61794 82392 92691 123588 140753 185382 247176 278073 281506 370764 422259 556146 563012 741528 844518 1112292 1126024 1266777 1689036 2224584 2533554 3378072 3800331 5067108 7600662 10134216 11400993 15201324 22801986 30402648 45603972 91207944