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41944392 = 2334721321
BaseRepresentation
bin1010000000000…
…0010101001000
32220220222220000
42200000111020
541214210032
64055003000
71016343600
oct240002510
986828800
1041944392
1121749496
1212069460
1388c7889
1457dbc00
153a37e7c
hex2800548

41944392 has 120 divisors (see below), whose sum is σ = 136767510. Its totient is φ = 11975040.

The previous prime is 41944373. The next prime is 41944439. The reversal of 41944392 is 29344914.

It can be written as a sum of positive squares in only one way, i.e., 26687556 + 15256836 = 5166^2 + 3906^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31092 + ... + 32412.

Almost surely, 241944392 is an apocalyptic number.

41944392 is a gapful number since it is divisible by the number (42) 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 41944392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68383755).

41944392 is an abundant number, since it is smaller than the sum of its proper divisors (94823118).

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

41944392 is a wasteful number, since it uses less digits than its factorization.

41944392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1333 counting only the distinct ones).

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

The square root of 41944392 is about 6476.4490270518. The cubic root of 41944392 is about 347.4491880919.

The spelling of 41944392 in words is "forty-one million, nine hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1321 1323 1512 1764 2268 2642 2646 3528 3963 3969 4536 5284 5292 7926 7938 9247 10568 10584 11889 15852 15876 18494 23778 27741 31704 31752 35667 36988 47556 55482 64729 71334 73976 83223 95112 107001 110964 129458 142668 166446 194187 214002 221928 249669 258916 285336 332892 388374 428004 499338 517832 582561 665784 749007 776748 856008 998676 1165122 1498014 1553496 1747683 1997352 2330244 2996028 3495366 4660488 5243049 5992056 6990732 10486098 13981464 20972196 41944392