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91909242 = 23417231451
BaseRepresentation
bin1010111101001…
…10110001111010
320101221110210000
411132212301322
5142012043432
613041533430
72164133655
oct536466172
9211843700
1091909242
1147975857
1226944276
131606cc89
14c2c689c
15810757c
hex57a6c7a

91909242 has 80 divisors (see below), whose sum is σ = 227696832. Its totient is φ = 27561600.

The previous prime is 91909241. The next prime is 91909267. The reversal of 91909242 is 24290919.

It is a junction number, because it is equal to n+sod(n) for n = 91909197 and 91909206.

It is not an unprimeable number, because it can be changed into a prime (91909241) 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, 62617 + ... + 64067.

Almost surely, 291909242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91909242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113848416).

91909242 is an abundant number, since it is smaller than the sum of its proper divisors (135787590).

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

91909242 is a wasteful number, since it uses less digits than its factorization.

91909242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 91909242 is about 9586.9307914473. The cubic root of 91909242 is about 451.2872475859.

The spelling of 91909242 in words is "ninety-one million, nine hundred nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 391 414 459 621 782 918 1173 1242 1377 1451 1863 2346 2754 2902 3519 3726 4353 7038 8706 10557 13059 21114 24667 26118 31671 33373 39177 49334 63342 66746 74001 78354 100119 117531 148002 200238 222003 235062 300357 444006 567341 600714 666009 901071 1134682 1332018 1702023 1802142 1998027 2703213 3404046 3996054 5106069 5406426 10212138 15318207 30636414 45954621 91909242