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147755972 = 227213103563
BaseRepresentation
bin10001100111010…
…01001111000100
3101022000210002102
420303221033010
5300311142342
622354531232
73442622300
oct1063511704
9338023072
10147755972
117644a281
1241596b18
13247c4690
14158a2d00
15ce89832
hex8ce93c4

147755972 has 72 divisors (see below), whose sum is σ = 327652416. Its totient is φ = 57782592.

The previous prime is 147755963. The next prime is 147755977. The reversal of 147755972 is 279557741.

It is not an unprimeable number, because it can be changed into a prime (147755977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262163 + ... + 262725.

It is an arithmetic number, because the mean of its divisors is an integer number (4550728).

Almost surely, 2147755972 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 147755972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163826208).

147755972 is an abundant number, since it is smaller than the sum of its proper divisors (179896444).

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

147755972 is a wasteful number, since it uses less digits than its factorization.

147755972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its digits is 617400, while the sum is 47.

The square root of 147755972 is about 12155.4914339158. The cubic root of 147755972 is about 528.6663657640. Note that the first 3 decimals are identical.

The spelling of 147755972 in words is "one hundred forty-seven million, seven hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 103 182 196 206 364 412 563 637 721 1126 1274 1339 1442 2252 2548 2678 2884 3941 5047 5356 7319 7882 9373 10094 14638 15764 18746 20188 27587 29276 37492 51233 55174 57989 65611 102466 110348 115978 131222 204932 231956 262444 358631 405923 717262 753857 811846 1434524 1507714 1623692 2841461 3015428 5276999 5682922 10553998 11365844 21107996 36938993 73877986 147755972