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90073662 = 2372319883
BaseRepresentation
bin1010101111001…
…10101000111110
320021111012211120
411113212220332
5141024324122
612534331410
72142420300
oct527465076
9207435746
1090073662
1146931748
12261b9b66
1315879633
14bd69970
157d9375c
hex55e6a3e

90073662 has 48 divisors (see below), whose sum is σ = 216340992. Its totient is φ = 24902640.

The previous prime is 90073657. The next prime is 90073663. The reversal of 90073662 is 26637009.

It is a super-2 number, since 2×900736622 = 16226529172180488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90073663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (4507104).

Almost surely, 290073662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90073662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108170496).

90073662 is an abundant number, since it is smaller than the sum of its proper divisors (126267330).

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

90073662 is a wasteful number, since it uses less digits than its factorization.

90073662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 90073662 is about 9490.7145147244. The cubic root of 90073662 is about 448.2627039951.

The spelling of 90073662 in words is "ninety million, seventy-three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 9883 19766 29649 59298 69181 138362 207543 306373 415086 484267 612746 919119 968534 1452801 1838238 2144611 2905602 4289222 6433833 12867666 15012277 30024554 45036831 90073662