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115152352 = 25722331103
BaseRepresentation
bin1101101110100…
…01010111100000
322000200100022221
412313101113200
5213434333402
615232040424
72565531100
oct667212740
9260610287
10115152352
115a000737
1232693114
131ab1a5b3
1411417200
15a199337
hex6dd15e0

115152352 has 144 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 45239040.

The previous prime is 115152347. The next prime is 115152353. The reversal of 115152352 is 253251511.

It is a super-2 number, since 2×1151523522 = 26520128342263808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115152353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117933 + ... + 1118035.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 2115152352 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 115152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

115152352 is an abundant number, since it is smaller than the sum of its proper divisors (171668000).

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

115152352 is a wasteful number, since it uses less digits than its factorization.

115152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 1500, while the sum is 25.

The square root of 115152352 is about 10730.9063922858. The cubic root of 115152352 is about 486.5090659594.

It can be divided in two parts, 115152 and 352, that multiplied together give a palindrome (40533504).

The spelling of 115152352 in words is "one hundred fifteen million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 92 98 103 112 124 161 184 196 206 217 224 248 322 368 392 412 434 496 644 713 721 736 784 824 868 992 1127 1288 1426 1442 1519 1568 1648 1736 2254 2369 2576 2852 2884 3038 3193 3296 3472 4508 4738 4991 5047 5152 5704 5768 6076 6386 6944 9016 9476 9982 10094 11408 11536 12152 12772 16583 18032 18952 19964 20188 22351 22816 23072 24304 25544 33166 34937 36064 37904 39928 40376 44702 48608 51088 66332 69874 73439 75808 79856 80752 89404 102176 116081 132664 139748 146878 156457 159712 161504 178808 232162 265328 279496 293756 312914 357616 464324 514073 530656 558992 587512 625828 715232 928648 1028146 1117984 1175024 1251656 1857296 2056292 2350048 2503312 3598511 3714592 4112584 5006624 7197022 8225168 14394044 16450336 28788088 57576176 115152352