Search a number
-
+
380472750 = 23253731729
BaseRepresentation
bin10110101011011…
…000110110101110
3222111221000111100
4112223120312232
51234400112000
6101430503530
712266652000
oct2653306656
9874830440
10380472750
11185848899
12a7504ba6
1360a95408
1438760370
1523607a00
hex16ad8dae

380472750 has 384 divisors, whose sum is σ = 1314144000. Its totient is φ = 79027200.

The previous prime is 380472713. The next prime is 380472751. The reversal of 380472750 is 57274083.

380472750 is a `hidden beast` number, since 380 + 4 + 7 + 275 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380472751) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 13119736 + ... + 13119764.

It is an arithmetic number, because the mean of its divisors is an integer number (3422250).

Almost surely, 2380472750 is an apocalyptic number.

380472750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380472750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072000).

380472750 is an abundant number, since it is smaller than the sum of its proper divisors (933671250).

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

380472750 is a wasteful number, since it uses less digits than its factorization.

380472750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 380472750 is about 19505.7107022533. The cubic root of 380472750 is about 724.6158884842.

The spelling of 380472750 in words is "three hundred eighty million, four hundred seventy-two thousand, seven hundred fifty".