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9941904 = 2432721409
BaseRepresentation
bin100101111011…
…001110010000
3200201002201200
4211323032100
510021120104
6553031200
7150335100
oct45731620
920632650
109941904
115680555
1233b5500
1320a12ab
14146b200
15d15b39
hex97b390

9941904 has 90 divisors (see below), whose sum is σ = 32389110. Its totient is φ = 2838528.

The previous prime is 9941903. The next prime is 9941927. The reversal of 9941904 is 4091499.

9941904 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 4410000 = 2352^2 + 2100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

9941904 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (9941903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6352 + ... + 7760.

It is an arithmetic number, because the mean of its divisors is an integer number (359879).

Almost surely, 29941904 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 9941904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194555).

9941904 is an abundant number, since it is smaller than the sum of its proper divisors (22447206).

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

9941904 is a wasteful number, since it uses less digits than its factorization.

9941904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9941904 is about 3153.0784956927. The cubic root of 9941904 is about 215.0254449784.

The spelling of 9941904 in words is "nine million, nine hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1409 1764 2352 2818 3528 4227 5636 7056 8454 9863 11272 12681 16908 19726 22544 25362 29589 33816 39452 50724 59178 67632 69041 78904 88767 101448 118356 138082 157808 177534 202896 207123 236712 276164 355068 414246 473424 552328 621369 710136 828492 1104656 1242738 1420272 1656984 2485476 3313968 4970952 9941904