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90348692 = 22723239587
BaseRepresentation
bin1010110001010…
…01110010010100
320022000012002212
411120221302110
5141112124232
612544252552
72144644160
oct530516224
9208005085
1090348692
1146aaa345
1226311158
1315944885
14bddbca0
157de9eb2
hex5629c94

90348692 has 48 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 36819552.

The previous prime is 90348691. The next prime is 90348757. The reversal of 90348692 is 29684309.

It is a happy number.

It is a super-2 number, since 2×903486922 = 16325772292221728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90348691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153623 + ... + 154209.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 290348692 is an apocalyptic number.

90348692 is a gapful number since it is divisible by the number (92) 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 90348692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

90348692 is an abundant number, since it is smaller than the sum of its proper divisors (99316588).

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

90348692 is a wasteful number, since it uses less digits than its factorization.

90348692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 90348692 is about 9505.1928965171. The cubic root of 90348692 is about 448.7184806761.

The spelling of 90348692 in words is "ninety million, three hundred forty-eight thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 239 322 478 587 644 956 1174 1673 2348 3346 4109 5497 6692 8218 10994 13501 16436 21988 27002 38479 54004 76958 94507 140293 153916 189014 280586 378028 561172 982051 1964102 3226739 3928204 6453478 12906956 22587173 45174346 90348692