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11742444 = 22327172741
BaseRepresentation
bin101100110010…
…110011101100
3211002120121100
4230302303230
511001224234
61055403100
7201544350
oct54626354
924076540
1011742444
1166a02aa
123b23490
1325819bc
1417b9460
15106e399
hexb32cec

11742444 has 72 divisors (see below), whose sum is σ = 35931168. Its totient is φ = 3156480.

The previous prime is 11742421. The next prime is 11742457. The reversal of 11742444 is 44424711.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2914 + ... + 5654.

It is an arithmetic number, because the mean of its divisors is an integer number (499044).

Almost surely, 211742444 is an apocalyptic number.

11742444 is a gapful number since it is divisible by the number (14) 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 11742444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965584).

11742444 is an abundant number, since it is smaller than the sum of its proper divisors (24188724).

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

11742444 is a wasteful number, since it uses less digits than its factorization.

11742444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2770 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 11742444 is about 3426.7249670786. The cubic root of 11742444 is about 227.2930549769.

The spelling of 11742444 in words is "eleven million, seven hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 2741 4284 5482 8223 10964 16446 19187 24669 32892 38374 46597 49338 57561 76748 93194 98676 115122 139791 172683 186388 230244 279582 326179 345366 419373 559164 652358 690732 838746 978537 1304716 1677492 1957074 2935611 3914148 5871222 11742444