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91948921 = 4322232
BaseRepresentation
bin1010111101100…
…00011101111001
320102000111012121
411132300131321
5142014331141
613042441241
72164360441
oct536603571
9212014177
1091948921
11479a2649
1226963221
131608505c
14c2d7121
1581141d1
hex57b0779

91948921 has 9 divisors (see below), whose sum is σ = 94561029. Its totient is φ = 89407836.

The previous prime is 91948907. The next prime is 91948931. The reversal of 91948921 is 12984919.

It is a happy number.

The square root of 91948921 is 9589.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 91948921 - 217 = 91817849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91948931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 412216 + ... + 412438.

It is an arithmetic number, because the mean of its divisors is an integer number (10506781).

Almost surely, 291948921 is an apocalyptic number.

91948921 is the 9589-th square number.

91948921 is the 4795-th centered octagonal number.

It is an amenable number.

91948921 is a deficient number, since it is larger than the sum of its proper divisors (2612108).

91948921 is an frugal number, since it uses more digits than its factorization.

91948921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its digits is 46656, while the sum is 43.

The cubic root of 91948921 is about 451.3521813911.

Multiplying 91948921 by its product of digits (46656), we get a square (4289968858176 = 20712242).

The spelling of 91948921 in words is "ninety-one million, nine hundred forty-eight thousand, nine hundred twenty-one".

Divisors: 1 43 223 1849 9589 49729 412327 2138347 91948921