Search a number
-
+
92042496 = 2832713439
BaseRepresentation
bin1010111110001…
…11010100000000
320102012020120100
411133013110000
5142030324441
613044442400
72165230320
oct537072400
9212166510
1092042496
1147a56987
12269a9400
13160b8820
14c31d280
158131cb6
hex57c7500

92042496 has 216 divisors, whose sum is σ = 327367040. Its totient is φ = 24219648.

The previous prime is 92042477. The next prime is 92042567. The reversal of 92042496 is 69424029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92042496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209445 + ... + 209883.

Almost surely, 292042496 is an apocalyptic number.

92042496 is a gapful number since it is divisible by the number (96) 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 92042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683520).

92042496 is an abundant number, since it is smaller than the sum of its proper divisors (235324544).

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

92042496 is a wasteful number, since it uses less digits than its factorization.

92042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 92042496 is about 9593.8780480054. The cubic root of 92042496 is about 451.5052408673.

The spelling of 92042496 in words is "ninety-two million, forty-two thousand, four hundred ninety-six".