Search a number
-
+
75422980 = 225231131451
BaseRepresentation
bin1000111111011…
…01110100000100
312020220212212201
410133231310010
5123302013410
611252324244
71604041033
oct437556404
9166825781
1075422980
1139635446
1221313684
1312819ca9
14a03471a
15694c83a
hex47edd04

75422980 has 48 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 28582400.

The previous prime is 75422953. The next prime is 75422981. The reversal of 75422980 is 8922457.

It is not an unprimeable number, because it can be changed into a prime (75422981) 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, 51255 + ... + 52705.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 275422980 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 75422980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

75422980 is an abundant number, since it is smaller than the sum of its proper divisors (91429244).

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

75422980 is a wasteful number, since it uses less digits than its factorization.

75422980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 75422980 is about 8684.6404646364. The cubic root of 75422980 is about 422.5076361492.

It can be divided in two parts, 7542 and 2980, that multiplied together give a triangular number (22475160 = T6704).

The spelling of 75422980 in words is "seventy-five million, four hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 1451 2260 2599 2902 5198 5804 7255 10396 12995 14510 25990 29020 33373 51980 66746 133492 163963 166865 327926 333730 655852 667460 819815 1639630 3279260 3771149 7542298 15084596 18855745 37711490 75422980