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38745936 = 2432269069
BaseRepresentation
bin1001001111001…
…1011101010000
32200220111102200
42103303131100
534404332221
63502243200
7650222625
oct223633520
980814380
1038745936
111a964439
1210b86500
138047ab8
14520834c
153605426
hex24f3750

38745936 has 30 divisors (see below), whose sum is σ = 108435210. Its totient is φ = 12915264.

The previous prime is 38745871. The next prime is 38745979. The reversal of 38745936 is 63954783.

38745936 is digitally balanced in base 2, because in such base 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., 38192400 + 553536 = 6180^2 + 744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38745891 and 38745900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134391 + ... + 134678.

It is an arithmetic number, because the mean of its divisors is an integer number (3614507).

Almost surely, 238745936 is an apocalyptic number.

38745936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38745936 is an abundant number, since it is smaller than the sum of its proper divisors (69689274).

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

38745936 is a wasteful number, since it uses less digits than its factorization.

38745936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269083 (or 269074 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 38745936 is about 6224.6233620999. The cubic root of 38745936 is about 338.3831421946.

The spelling of 38745936 in words is "thirty-eight million, seven hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269069 538138 807207 1076276 1614414 2152552 2421621 3228828 4305104 4843242 6457656 9686484 12915312 19372968 38745936