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68572152 = 233211217463
BaseRepresentation
bin1000001011001…
…01001111111000
311210000211022100
410011211033320
5120023302102
610445423400
71461565545
oct405451770
9153024270
1068572152
1135786300
121ab6ab60
131128b94c
14916dbcc
156047a1c
hex41653f8

68572152 has 144 divisors (see below), whose sum is σ = 216609120. Its totient is φ = 19514880.

The previous prime is 68572151. The next prime is 68572157. The reversal of 68572152 is 25127586.

It is a happy number.

It is a super-2 number, since 2×685721522 = 9404280059822208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68572151) 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 35 ways as a sum of consecutive naturals, for example, 147873 + ... + 148335.

It is an arithmetic number, because the mean of its divisors is an integer number (1504230).

Almost surely, 268572152 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 68572152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108304560).

68572152 is an abundant number, since it is smaller than the sum of its proper divisors (148036968).

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

68572152 is a wasteful number, since it uses less digits than its factorization.

68572152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 496 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 68572152 is about 8280.8303931429. The cubic root of 68572152 is about 409.3070826240.

It can be divided in two parts, 6857 and 2152, that added together give a palindrome (9009).

The spelling of 68572152 in words is "sixty-eight million, five hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 121 132 136 153 187 198 204 242 264 306 363 374 396 408 463 484 561 612 726 748 792 926 968 1089 1122 1224 1389 1452 1496 1683 1852 2057 2178 2244 2778 2904 3366 3704 4114 4167 4356 4488 5093 5556 6171 6732 7871 8228 8334 8712 10186 11112 12342 13464 15279 15742 16456 16668 18513 20372 23613 24684 30558 31484 33336 37026 40744 45837 47226 49368 56023 61116 62968 70839 74052 86581 91674 94452 112046 122232 141678 148104 168069 173162 183348 188904 224092 259743 283356 336138 346324 366696 448184 504207 519486 566712 672276 692648 779229 952391 1008414 1038972 1344552 1558458 1904782 2016828 2077944 2857173 3116916 3809564 4033656 5714346 6233832 7619128 8571519 11428692 17143038 22857384 34286076 68572152