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75018272 = 2572314561
BaseRepresentation
bin1000111100010…
…11000000100000
312020011022201112
410132023000200
5123201041042
611235522452
71600434110
oct436130040
9166138645
1075018272
113938937a
1221159428
1312707a14
149d6b040
1568bc982
hex478b020

75018272 has 48 divisors (see below), whose sum is σ = 176141952. Its totient is φ = 30750720.

The previous prime is 75018253. The next prime is 75018283. The reversal of 75018272 is 27281057.

It is a super-2 number, since 2×750182722 = 11255482267731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129 + ... + 12432.

It is an arithmetic number, because the mean of its divisors is an integer number (3669624).

Almost surely, 275018272 is an apocalyptic number.

It is an amenable number.

75018272 is an abundant number, since it is smaller than the sum of its proper divisors (101123680).

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

75018272 is a wasteful number, since it uses less digits than its factorization.

75018272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 75018272 is about 8661.3089080115. The cubic root of 75018272 is about 421.7505769849.

The spelling of 75018272 in words is "seventy-five million, eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 14561 29122 58244 101927 116488 203854 232976 334903 407708 465952 669806 815416 1339612 1630832 2344321 2679224 3261664 4688642 5358448 9377284 10716896 18754568 37509136 75018272