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90970496 = 271395113
BaseRepresentation
bin1010110110000…
…01100110000000
320100011210001122
411123001212000
5141242023441
613005451412
72153144051
oct533014600
9210153048
1090970496
1147394531
1226570b68
1315b018c6
14c120728
157ebe34b
hex56c1980

90970496 has 32 divisors (see below), whose sum is σ = 182569800. Its totient is φ = 45149184.

The previous prime is 90970487. The next prime is 90970541. The reversal of 90970496 is 69407909.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×909704962 = 16551262284972032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15236 + ... + 20348.

Almost surely, 290970496 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 90970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91284900).

90970496 is an abundant number, since it is smaller than the sum of its proper divisors (91599304).

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

90970496 is a wasteful number, since it uses less digits than its factorization.

90970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 90970496 is about 9537.8454590122. The cubic root of 90970496 is about 449.7455285535.

The spelling of 90970496 in words is "ninety million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 5113 8896 10226 17792 20452 40904 81808 163616 327232 654464 710707 1421414 2842828 5685656 11371312 22742624 45485248 90970496