Search a number
-
+
152404624 = 24192371307
BaseRepresentation
bin10010001010110…
…00001010010000
3101121202221211201
421011120022100
5303003421444
623042320544
73530263231
oct1105301220
9347687751
10152404624
1179034939
1243059154
1325761568
1416353088
15d5a6dd4
hex9158290

152404624 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 67858560.

The previous prime is 152404621. The next prime is 152404631. The reversal of 152404624 is 426404251.

It is a junction number, because it is equal to n+sod(n) for n = 152404592 and 152404601.

It is not an unprimeable number, because it can be changed into a prime (152404621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496279 + ... + 496585.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2152404624 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 152404624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

152404624 is an abundant number, since it is smaller than the sum of its proper divisors (177574256).

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

152404624 is a wasteful number, since it uses less digits than its factorization.

152404624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 152404624 is about 12345.2267698896. The cubic root of 152404624 is about 534.1534625119.

Adding to 152404624 its reverse (426404251), we get a palindrome (578808875).

The spelling of 152404624 in words is "one hundred fifty-two million, four hundred four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 38 46 71 76 92 142 152 184 284 304 307 368 437 568 614 874 1136 1228 1349 1633 1748 2456 2698 3266 3496 4912 5396 5833 6532 6992 7061 10792 11666 13064 14122 21584 21797 23332 26128 28244 31027 43594 46664 56488 62054 87188 93328 112976 124108 134159 174376 248216 268318 348752 414143 496432 501331 536636 828286 1002662 1073272 1656572 2005324 2146544 3313144 4010648 6626288 8021296 9525289 19050578 38101156 76202312 152404624