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91970046 = 2337467521
BaseRepresentation
bin1010111101101…
…01100111111110
320102001120012000
411132311213332
5142021020141
613043123130
72164506150
oct536654776
9212046160
1091970046
1147a07503
12269734a6
131609185c
14c300ad0
15811a5b6
hex57b59fe

91970046 has 64 divisors (see below), whose sum is σ = 234524160. Its totient is φ = 26170560.

The previous prime is 91970033. The next prime is 91970147. The reversal of 91970046 is 64007919.

It is a super-3 number, since 3×919700463 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176266 + ... + 176786.

It is an arithmetic number, because the mean of its divisors is an integer number (3664440).

Almost surely, 291970046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91970046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117262080).

91970046 is an abundant number, since it is smaller than the sum of its proper divisors (142554114).

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

91970046 is a wasteful number, since it uses less digits than its factorization.

91970046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 91970046 is about 9590.1014593173. The cubic root of 91970046 is about 451.3867443659.

The spelling of 91970046 in words is "ninety-one million, nine hundred seventy thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 467 521 934 1042 1401 1563 2802 3126 3269 3647 4203 4689 6538 7294 8406 9378 9807 10941 12609 14067 19614 21882 25218 28134 29421 32823 58842 65646 88263 98469 176526 196938 243307 486614 729921 1459842 1703149 2189763 3406298 4379526 5109447 6569289 10218894 13138578 15328341 30656682 45985023 91970046