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4922496 = 27324273
BaseRepresentation
bin10010110001110010000000
3100021002101200
4102301302000
52230004441
6253301200
756561205
oct22616200
910232350
104922496
112862387
121794800
131034727
14921cac
156737b6
hex4b1c80

4922496 has 48 divisors (see below), whose sum is σ = 14168310. Its totient is φ = 1640448.

The previous prime is 4922461. The next prime is 4922497. The reversal of 4922496 is 6942294.

It can be written as a sum of positive squares in only one way, i.e., 4562496 + 360000 = 2136^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 48 + 93 + 217 + 219 + 411 + 94 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4922496.

It is not an unprimeable number, because it can be changed into a prime (4922497) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 985 + ... + 3288.

Almost surely, 24922496 is an apocalyptic number.

It is an amenable number.

4922496 is an abundant number, since it is smaller than the sum of its proper divisors (9245814).

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

4922496 is a wasteful number, since it uses less digits than its factorization.

4922496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4278 counting only the distinct ones).

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

The square root of 4922496 is about 2218.6698717926. The cubic root of 4922496 is about 170.1094566148.

The spelling of 4922496 in words is "four million, nine hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4273 8546 12819 17092 25638 34184 38457 51276 68368 76914 102552 136736 153828 205104 273472 307656 410208 546944 615312 820416 1230624 1640832 2461248 4922496