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75048272 = 241331103113
BaseRepresentation
bin1000111100100…
…10010101010000
312020012211212122
410132102111100
5123203021042
611240313412
71600620425
oct436222520
9166184778
1075048272
11393a9972
1221172868
1312718580
149d77d4c
1568c67d2
hex4792550

75048272 has 80 divisors (see below), whose sum is σ = 164656128. Its totient is φ = 32901120.

The previous prime is 75048263. The next prime is 75048277. The reversal of 75048272 is 27284057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75048277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664088 + ... + 664200.

Almost surely, 275048272 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 75048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

75048272 is an abundant number, since it is smaller than the sum of its proper divisors (89607856).

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

75048272 is a wasteful number, since it uses less digits than its factorization.

75048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 75048272 is about 8663.0405747636. The cubic root of 75048272 is about 421.8067892061.

The spelling of 75048272 in words is "seventy-five million, forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 103 104 113 124 206 208 226 248 403 412 452 496 806 824 904 1339 1469 1612 1648 1808 2678 2938 3193 3224 3503 5356 5876 6386 6448 7006 10712 11639 11752 12772 14012 21424 23278 23504 25544 28024 41509 45539 46556 51088 56048 83018 91078 93112 151307 166036 182156 186224 302614 332072 360809 364312 605228 664144 721618 728624 1210456 1443236 2420912 2886472 4690517 5772944 9381034 18762068 37524136 75048272