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38141856 = 2532132437
BaseRepresentation
bin1001000101111…
…1111110100000
32122202210210100
42101133332200
534231014411
63441302400
7642125514
oct221377640
978683710
1038141856
111a5915a5
1210934a00
137b95b5c
1450cc144
153536456
hex245ffa0

38141856 has 36 divisors (see below), whose sum is σ = 108466722. Its totient is φ = 12713856.

The previous prime is 38141833. The next prime is 38141869. The reversal of 38141856 is 65814183.

It can be written as a sum of positive squares in only one way, i.e., 23853456 + 14288400 = 4884^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38141856.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65931 + ... + 66506.

Almost surely, 238141856 is an apocalyptic number.

38141856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38141856 is an abundant number, since it is smaller than the sum of its proper divisors (70324866).

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

38141856 is a wasteful number, since it uses less digits than its factorization.

38141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132453 (or 132442 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 38141856 is about 6175.9093257592. The cubic root of 38141856 is about 336.6153688902.

The spelling of 38141856 in words is "thirty-eight million, one hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132437 264874 397311 529748 794622 1059496 1191933 1589244 2118992 2383866 3178488 4237984 4767732 6356976 9535464 12713952 19070928 38141856