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9941408 = 251983197
BaseRepresentation
bin100101111011…
…000110100000
3200201002001022
4211323012200
510021111113
6553025012
7150333461
oct45730640
920632038
109941408
115680144
1233b5168
1320a0cb9
14146ad68
15d15908
hex97b1a0

9941408 has 48 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 4628736.

The previous prime is 9941383. The next prime is 9941431. The reversal of 9941408 is 8041499.

It is a Cunningham number, because it is equal to 31532-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50366 + ... + 50562.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 29941408 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 9941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

9941408 is an abundant number, since it is smaller than the sum of its proper divisors (11014912).

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

9941408 is a wasteful number, since it uses less digits than its factorization.

9941408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 9941408 is about 3152.9998414209. Note that the first 3 decimals coincide. The cubic root of 9941408 is about 215.0218690573.

The spelling of 9941408 in words is "nine million, nine hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 83 152 166 197 304 332 394 608 664 788 1328 1576 1577 2656 3152 3154 3743 6304 6308 7486 12616 14972 16351 25232 29944 32702 50464 59888 65404 119776 130808 261616 310669 523232 621338 1242676 2485352 4970704 9941408