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75014532 = 22332943557
BaseRepresentation
bin1000111100010…
…10000110000100
312020011010121000
410132022012010
5123200431112
611235453300
71600420155
oct436120604
9166133530
1075014532
113938658a
1221157230
13127060c8
149d6992c
1568bb7dc
hex478a184

75014532 has 96 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 23538816.

The previous prime is 75014531. The next prime is 75014551. The reversal of 75014532 is 23541057.

It is a happy number.

It is a super-2 number, since 2×750145322 = 11254360022358048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75014496 and 75014505.

It is not an unprimeable number, because it can be changed into a prime (75014531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134398 + ... + 134954.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 275014532 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 75014532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

75014532 is an abundant number, since it is smaller than the sum of its proper divisors (131222268).

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

75014532 is a wasteful number, since it uses less digits than its factorization.

75014532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75014532 is about 8661.0930026181. The cubic root of 75014532 is about 421.7435681441.

Adding to 75014532 its reverse (23541057), we get a palindrome (98555589).

The spelling of 75014532 in words is "seventy-five million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 43 54 58 86 87 108 116 129 172 174 258 261 348 387 516 522 557 774 783 1044 1114 1161 1247 1548 1566 1671 2228 2322 2494 3132 3342 3741 4644 4988 5013 6684 7482 10026 11223 14964 15039 16153 20052 22446 23951 30078 32306 33669 44892 47902 48459 60156 64612 67338 71853 95804 96918 134676 143706 145377 193836 215559 287412 290754 431118 436131 581508 646677 694579 862236 872262 1293354 1389158 1744524 2083737 2586708 2778316 4167474 6251211 8334948 12502422 18753633 25004844 37507266 75014532