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41092704 = 2533199239
BaseRepresentation
bin1001110011000…
…0011001100000
32212022201121000
42130300121200
541004431304
64024432000
71006165542
oct234603140
985281530
1041092704
1121217614
1211918600
13868a013
145659692
15391a939
hex2730660

41092704 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 13571712.

The previous prime is 41092703. The next prime is 41092721. The reversal of 41092704 is 40729014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×410927042 = 3377220644063232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41092703) 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, 171817 + ... + 172055.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 241092704 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 41092704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

41092704 is an abundant number, since it is smaller than the sum of its proper divisors (79867296).

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

41092704 is a wasteful number, since it uses less digits than its factorization.

41092704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 41092704 is about 6410.3591163054. The cubic root of 41092704 is about 345.0814174575.

The spelling of 41092704 in words is "forty-one million, ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 239 288 398 432 478 597 717 796 864 956 1194 1434 1592 1791 1912 2151 2388 2868 3184 3582 3824 4302 4776 5373 5736 6368 6453 7164 7648 8604 9552 10746 11472 12906 14328 17208 19104 21492 22944 25812 28656 34416 42984 47561 51624 57312 68832 85968 95122 103248 142683 171936 190244 206496 285366 380488 428049 570732 760976 856098 1141464 1284147 1521952 1712196 2282928 2568294 3424392 4565856 5136588 6848784 10273176 13697568 20546352 41092704