Search a number
-
+
75490800 = 243527111943
BaseRepresentation
bin1000111111111…
…10010111110000
312021001022220120
410133332113300
5123311201200
611254010240
71604442540
oct437762760
9167038816
1075490800
11396813a0
1221346980
1312841b18
14a051320
1569629a0
hex47fe5f0

75490800 has 480 divisors, whose sum is σ = 324741120. Its totient is φ = 14515200.

The previous prime is 75490787. The next prime is 75490813. The reversal of 75490800 is 809457.

It is an interprime number because it is at equal distance from previous prime (75490787) and next prime (75490813).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1755579 + ... + 1755621.

It is an arithmetic number, because the mean of its divisors is an integer number (676544).

Almost surely, 275490800 is an apocalyptic number.

75490800 is a gapful number since it is divisible by the number (70) 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 75490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162370560).

75490800 is an abundant number, since it is smaller than the sum of its proper divisors (249250320).

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

75490800 is a wasteful number, since it uses less digits than its factorization.

75490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 75490800 is about 8688.5441818523. The cubic root of 75490800 is about 422.6342371910.

The spelling of 75490800 in words is "seventy-five million, four hundred ninety thousand, eight hundred".