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168952542 = 23112317507
BaseRepresentation
bin10100001001000…
…00001011011110
3102202220200022120
422010200023132
5321222440132
624433123410
74121034003
oct1204401336
9382820276
10168952542
1187407600
12486b9566
1329006625
141861d8aa
15ec7502c
hexa1202de

168952542 has 48 divisors (see below), whose sum is σ = 383448576. Its totient is φ = 49539600.

The previous prime is 168952517. The next prime is 168952543. The reversal of 168952542 is 245259861.

It is a super-2 number, since 2×1689525422 = 57089922896523528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168952494 and 168952503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168952543) 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 23 ways as a sum of consecutive naturals, for example, 18753 + ... + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (7988512).

Almost surely, 2168952542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168952542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191724288).

168952542 is an abundant number, since it is smaller than the sum of its proper divisors (214496034).

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

168952542 is a wasteful number, since it uses less digits than its factorization.

168952542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7554 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 168952542 is about 12998.1745641455. The cubic root of 168952542 is about 552.8257241372.

The spelling of 168952542 in words is "one hundred sixty-eight million, nine hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 7507 11253 15014 22506 22521 45042 82577 165154 232717 247731 465434 495462 698151 908347 1396302 1816694 2559887 2725041 5119774 5450082 7679661 15359322 28158757 56317514 84476271 168952542