Search a number
-
+
152765536 = 25721117521
BaseRepresentation
bin10010001101100…
…00010001100000
3101122110021220211
421012300101200
5303101444121
623054143504
73533325400
oct1106602140
9348407824
10152765536
1179261010
12431b1b94
1325859911
1416408800
15d628ce1
hex91b0460

152765536 has 144 divisors (see below), whose sum is σ = 404892432. Its totient is φ = 55910400.

The previous prime is 152765531. The next prime is 152765537. The reversal of 152765536 is 635567251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152765531) 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, 292956 + ... + 293476.

It is an arithmetic number, because the mean of its divisors is an integer number (2811753).

Almost surely, 2152765536 is an apocalyptic number.

152765536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152765536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202446216).

152765536 is an abundant number, since it is smaller than the sum of its proper divisors (252126896).

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

152765536 is a wasteful number, since it uses less digits than its factorization.

152765536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its digits is 189000, while the sum is 40.

The square root of 152765536 is about 12359.8355976121. The cubic root of 152765536 is about 534.5747761007.

The spelling of 152765536 in words is "one hundred fifty-two million, seven hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 224 238 272 308 352 374 392 476 521 539 544 616 748 784 833 952 1042 1078 1232 1309 1496 1568 1666 1904 2084 2156 2464 2618 2992 3332 3647 3808 4168 4312 5236 5731 5984 6664 7294 8336 8624 8857 9163 10472 11462 13328 14588 16672 17248 17714 18326 20944 22924 25529 26656 29176 35428 36652 40117 41888 45848 51058 58352 61999 70856 73304 80234 91696 97427 102116 116704 123998 141712 146608 160468 183392 194854 204232 247996 280819 283424 293216 320936 389708 408464 433993 495992 561638 641872 681989 779416 816928 867986 991984 1123276 1283744 1363978 1558832 1735972 1983968 2246552 2727956 3117664 3471944 4493104 4773923 5455912 6943888 8986208 9547846 10911824 13887776 19095692 21823648 38191384 76382768 152765536