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38071296 = 2103717
BaseRepresentation
bin1001000100111…
…0110000000000
32122122020000000
42101032300000
534221240141
63440000000
7641413014
oct221166000
978566000
1038071296
111a54358a
1210900000
137b6c9c3
1450b0544
1535205b6
hex244ec00

38071296 has 176 divisors, whose sum is σ = 120854880. Its totient is φ = 11943936.

The previous prime is 38071291. The next prime is 38071309. The reversal of 38071296 is 69217083.

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38071296.

It is not an unprimeable number, because it can be changed into a prime (38071291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239480 + ... + 2239496.

Almost surely, 238071296 is an apocalyptic number.

38071296 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 38071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60427440).

38071296 is an abundant number, since it is smaller than the sum of its proper divisors (82783584).

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

38071296 is an frugal number, since it uses more digits than its factorization.

38071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 38071296 is about 6170.1941622610. The cubic root of 38071296 is about 336.4076684416.

The spelling of 38071296 in words is "thirty-eight million, seventy-one thousand, two hundred ninety-six".