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38900736 = 21034767
BaseRepresentation
bin1001010001100…
…1010000000000
32201012100210000
42110121100000
534424310421
63505440000
7651436140
oct224312000
981170700
1038900736
111aa5a776
1211040000
1380a03b4
145248920
153636226
hex2519400

38900736 has 220 divisors, whose sum is σ = 134741728. Its totient is φ = 10948608.

The previous prime is 38900723. The next prime is 38900747. The reversal of 38900736 is 63700983.

It is a super-2 number, since 2×389007362 = 3026534522683392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38900736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580575 + ... + 580641.

Almost surely, 238900736 is an apocalyptic number.

38900736 is a gapful number since it is divisible by the number (36) 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 38900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370864).

38900736 is an abundant number, since it is smaller than the sum of its proper divisors (95840992).

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

38900736 is an equidigital number, since it uses as much as digits as its factorization.

38900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38900736 is about 6237.0454543798. The cubic root of 38900736 is about 338.8331859993.

The spelling of 38900736 in words is "thirty-eight million, nine hundred thousand, seven hundred thirty-six".