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152764248 = 233713113619
BaseRepresentation
bin10010001101011…
…11111101011000
3101122110020011010
421012233331120
5303101423443
623054133520
73533321550
oct1106577530
9348406133
10152764248
117926004a
12431b12a0
1325859160
1416408160
15d628733
hex91aff58

152764248 has 128 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 39868416.

The previous prime is 152764247. The next prime is 152764273. The reversal of 152764248 is 842467251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152764243) 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, 246483 + ... + 247101.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2152764248 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 152764248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

152764248 is an abundant number, since it is smaller than the sum of its proper divisors (322205352).

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

152764248 is a wasteful number, since it uses less digits than its factorization.

152764248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 152764248 is about 12359.7834932494. The cubic root of 152764248 is about 534.5732737237.

The spelling of 152764248 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 113 156 168 182 226 273 312 339 364 452 546 619 678 728 791 904 1092 1238 1356 1469 1582 1857 2184 2373 2476 2712 2938 3164 3714 4333 4407 4746 4952 5876 6328 7428 8047 8666 8814 9492 10283 11752 12999 14856 16094 17332 17628 18984 20566 24141 25998 30849 32188 34664 35256 41132 48282 51996 56329 61698 64376 69947 82264 96564 103992 112658 123396 139894 168987 193128 209841 225316 246792 279788 337974 419682 450632 489629 559576 675948 839364 909311 979258 1351896 1468887 1678728 1818622 1958516 2727933 2937774 3637244 3917032 5455866 5875548 6365177 7274488 10911732 11751096 12730354 19095531 21823464 25460708 38191062 50921416 76382124 152764248