Search a number
-
+
38972047296 = 26372131931541
BaseRepresentation
bin100100010010111010…
…100011111111000000
310201121000210010111010
4210102322203333000
51114303321003141
625523054120520
72546522636100
oct442272437700
9121530703433
1038972047296
1115589782a56
1276777b0140
1338a1109220
141c59c65200
151031633416
hex912ea3fc0

38972047296 has 672 divisors, whose sum is σ = 140619601920. Its totient is φ = 9405849600.

The previous prime is 38972047259. The next prime is 38972047313. The reversal of 38972047296 is 69274027983.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (57) 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 (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72036786 + ... + 72037326.

It is an arithmetic number, because the mean of its divisors is an integer number (209255360).

Almost surely, 238972047296 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 38972047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309800960).

38972047296 is an abundant number, since it is smaller than the sum of its proper divisors (101647554624).

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

38972047296 is a wasteful number, since it uses less digits than its factorization.

38972047296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 38972047296 in words is "thirty-eight billion, nine hundred seventy-two million, forty-seven thousand, two hundred ninety-six".