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238772352 = 2737136833
BaseRepresentation
bin11100011101101…
…10000010000000
3121122021220002110
432032312002000
5442111203402
635405415320
75626350210
oct1616660200
9548256073
10238772352
11112865225
1267b6a540
133a611120
14239d6240
1515e6756c
hexe3b6080

238772352 has 128 divisors (see below), whose sum is σ = 780716160. Its totient is φ = 62963712.

The previous prime is 238772333. The next prime is 238772353. The reversal of 238772352 is 253277832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2387723522 = 114024472159223808, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238772352.

It is not an unprimeable number, because it can be changed into a prime (238772353) 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 15 ways as a sum of consecutive naturals, for example, 31528 + ... + 38360.

It is an arithmetic number, because the mean of its divisors is an integer number (6099345).

Almost surely, 2238772352 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 238772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390358080).

238772352 is an abundant number, since it is smaller than the sum of its proper divisors (541943808).

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

238772352 is a wasteful number, since it uses less digits than its factorization.

238772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6858 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 238772352 is about 15452.2604171687. The cubic root of 238772352 is about 620.3850816229.

The spelling of 238772352 in words is "two hundred thirty-eight million, seven hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 6833 8736 11648 13666 17472 20499 27332 34944 40998 47831 54664 81996 88829 95662 109328 143493 163992 177658 191324 218656 266487 286986 327984 355316 382648 437312 532974 573972 621803 655968 710632 765296 874624 1065948 1147944 1243606 1311936 1421264 1530592 1865409 2131896 2295888 2487212 2623872 2842528 3061184 3730818 4263792 4591776 4974424 5685056 6122368 7461636 8527584 9183552 9948848 11370112 14923272 17055168 18367104 19897696 29846544 34110336 39795392 59693088 79590784 119386176 238772352