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38801336 = 2372312103
BaseRepresentation
bin1001010000000…
…0111110111000
32201000022102112
42110000332320
534413120321
63503351452
7650543300
oct224007670
981008375
1038801336
111a9a2022
1210bb2588
138067092
145220600
153616a5b
hex2500fb8

38801336 has 72 divisors (see below), whose sum is σ = 88297560. Its totient is φ = 15936480.

The previous prime is 38801309. The next prime is 38801339. The reversal of 38801336 is 63310883.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38801339) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 376661 + ... + 376763.

It is an arithmetic number, because the mean of its divisors is an integer number (1226355).

Almost surely, 238801336 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 38801336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44148780).

38801336 is an abundant number, since it is smaller than the sum of its proper divisors (49496224).

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

38801336 is a wasteful number, since it uses less digits than its factorization.

38801336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 38801336 is about 6229.0718409728. The cubic root of 38801336 is about 338.5443418832.

The spelling of 38801336 in words is "thirty-eight million, eight hundred one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 103 124 196 206 217 248 392 412 434 721 824 868 961 1442 1519 1736 1922 2884 3038 3193 3844 5047 5768 6076 6386 6727 7688 10094 12152 12772 13454 20188 22351 25544 26908 40376 44702 47089 53816 89404 94178 98983 156457 178808 188356 197966 312914 376712 395932 625828 692881 791864 1251656 1385762 2771524 4850167 5543048 9700334 19400668 38801336