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147975344 = 241117192137
BaseRepresentation
bin10001101000111…
…10110010110000
3101022102221000022
420310132302300
5300340202334
622403343012
73444524666
oct1064366260
9338387008
10147975344
117658a080
1241681a68
132487049a
141591cc36
15cece82e
hex8d1ecb0

147975344 has 120 divisors (see below), whose sum is σ = 352062288. Its totient is φ = 59535360.

The previous prime is 147975337. The next prime is 147975349. The reversal of 147975344 is 443579741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 147975295 and 147975304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147975349) 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, 1080044 + ... + 1080180.

Almost surely, 2147975344 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 147975344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176031144).

147975344 is an abundant number, since it is smaller than the sum of its proper divisors (204086944).

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

147975344 is a wasteful number, since it uses less digits than its factorization.

147975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 147975344 is about 12164.5116630303. The cubic root of 147975344 is about 528.9278718320.

The spelling of 147975344 in words is "one hundred forty-seven million, nine hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 137 152 176 187 209 272 274 304 323 361 374 418 548 646 722 748 836 1096 1292 1444 1496 1507 1672 2192 2329 2584 2603 2888 2992 3014 3344 3553 3971 4658 5168 5206 5776 6028 6137 7106 7942 9316 10412 12056 12274 14212 15884 18632 20824 24112 24548 25619 28424 28633 31768 37264 41648 44251 49096 49457 51238 56848 57266 63536 67507 88502 98192 98914 102476 114532 135014 177004 197828 204952 229064 270028 354008 395656 409904 458128 486761 540056 544027 708016 791312 840769 973522 1080112 1088054 1681538 1947044 2176108 3363076 3894088 4352216 6726152 7788176 8704432 9248459 13452304 18496918 36993836 73987672 147975344