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75225488 = 2413418821
BaseRepresentation
bin1000111101111…
…01100110010000
312020112211222012
410132331212100
5123224203423
611244202052
71602256202
oct436754620
9166484865
1075225488
1139510028
1221239328
131277b130
149dc2772
15690e078
hex47bd990

75225488 has 40 divisors (see below), whose sum is σ = 160807416. Its totient is φ = 33868800.

The previous prime is 75225487. The next prime is 75225511. The reversal of 75225488 is 88452257.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 75203584 = 148^2 + 8672^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (75225487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4118 + ... + 12938.

Almost surely, 275225488 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 75225488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80403708).

75225488 is an abundant number, since it is smaller than the sum of its proper divisors (85581928).

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

75225488 is a wasteful number, since it uses less digits than its factorization.

75225488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8877 counting only the distinct ones).

The product of its digits is 179200, while the sum is 41.

The square root of 75225488 is about 8673.2628231825. The cubic root of 75225488 is about 422.1385407978.

The spelling of 75225488 in words is "seventy-five million, two hundred twenty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 8821 17642 35284 70568 114673 141136 229346 361661 458692 723322 917384 1446644 1834768 2893288 4701593 5786576 9403186 18806372 37612744 75225488