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38822496 = 253795119
BaseRepresentation
bin1001010000011…
…0001001100000
32201001101110020
42110012021200
534414304441
63504033440
7650662056
oct224061140
981041406
1038822496
111aa06a09
1211002880
1380738bb
1452281d6
15361ce66
hex2506260

38822496 has 48 divisors (see below), whose sum is σ = 103219200. Its totient is φ = 12774528.

The previous prime is 38822477. The next prime is 38822501. The reversal of 38822496 is 69422883.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025 + ... + 10143.

It is an arithmetic number, because the mean of its divisors is an integer number (2150400).

Almost surely, 238822496 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 38822496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51609600).

38822496 is an abundant number, since it is smaller than the sum of its proper divisors (64396704).

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

38822496 is a wasteful number, since it uses less digits than its factorization.

38822496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5203 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 38822496 is about 6230.7700968660. The cubic root of 38822496 is about 338.6058715211.

The spelling of 38822496 in words is "thirty-eight million, eight hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 5119 7584 10238 15357 20476 30714 40952 61428 81904 122856 163808 245712 404401 491424 808802 1213203 1617604 2426406 3235208 4852812 6470416 9705624 12940832 19411248 38822496