Search a number
-
+
75534228 = 223371131293
BaseRepresentation
bin1001000000010…
…00111110010100
312021010112111000
410200020332110
5123314043403
611254543300
71605013260
oct440107624
9167115430
1075534228
1139700a90
1221367b30
1312858813
14a0630a0
1569707a3
hex4808f94

75534228 has 192 divisors, whose sum is σ = 252887040. Its totient is φ = 18921600.

The previous prime is 75534227. The next prime is 75534229. The reversal of 75534228 is 82243557.

It is an interprime number because it is at equal distance from previous prime (75534227) and next prime (75534229).

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

It is a junction number, because it is equal to n+sod(n) for n = 75534192 and 75534201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75534227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257650 + ... + 257942.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 275534228 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 75534228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126443520).

75534228 is an abundant number, since it is smaller than the sum of its proper divisors (177352812).

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

75534228 is a wasteful number, since it uses less digits than its factorization.

75534228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 75534228 is about 8691.0429753856. The cubic root of 75534228 is about 422.7152653481.

It can be divided in two parts, 7553 and 4228, that added together give a triangular number (11781 = T153).

The spelling of 75534228 in words is "seventy-five million, five hundred thirty-four thousand, two hundred twenty-eight".