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3122496 = 263313139
BaseRepresentation
bin1011111010010101000000
312212122021000
423322111000
51244404441
6150532000
735353326
oct13722500
95778230
103122496
111842a83
121067000
13854340
145b3d16
1541a2b6
hex2fa540

3122496 has 112 divisors (see below), whose sum is σ = 9956800. Its totient is φ = 953856.

The previous prime is 3122491. The next prime is 3122513. The reversal of 3122496 is 6942213.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22395 + ... + 22533.

It is an arithmetic number, because the mean of its divisors is an integer number (88900).

Almost surely, 23122496 is an apocalyptic number.

3122496 is a gapful number since it is divisible by the number (36) 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 3122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978400).

3122496 is an abundant number, since it is smaller than the sum of its proper divisors (6834304).

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

3122496 is a wasteful number, since it uses less digits than its factorization.

3122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3122496 is about 1767.0585728832. The cubic root of 3122496 is about 146.1618271940.

The spelling of 3122496 in words is "three million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 139 144 156 192 208 216 234 278 288 312 351 416 417 432 468 556 576 624 702 832 834 864 936 1112 1248 1251 1404 1668 1728 1807 1872 2224 2496 2502 2808 3336 3614 3744 3753 4448 5004 5421 5616 6672 7228 7488 7506 8896 10008 10842 11232 13344 14456 15012 16263 20016 21684 22464 26688 28912 30024 32526 40032 43368 48789 57824 60048 65052 80064 86736 97578 115648 120096 130104 173472 195156 240192 260208 346944 390312 520416 780624 1040832 1561248 3122496