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152235952 = 24111724173
BaseRepresentation
bin10010001001011…
…10111110110000
3101121110101110121
421010232332300
5302433022302
623034540024
73525661411
oct1104567660
9347411417
10152235952
1178a2a140
1242b97614
132570285b
141630b808
15d571e37
hex912efb0

152235952 has 120 divisors (see below), whose sum is σ = 354946032. Its totient is φ = 62668800.

The previous prime is 152235949. The next prime is 152235959. The reversal of 152235952 is 259532251.

152235952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (152235959) 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, 2085388 + ... + 2085460.

Almost surely, 2152235952 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 152235952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177473016).

152235952 is an abundant number, since it is smaller than the sum of its proper divisors (202710080).

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

152235952 is a wasteful number, since it uses less digits than its factorization.

152235952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The square root of 152235952 is about 12338.3934124342. The cubic root of 152235952 is about 533.9563337793.

152235952 divided by its sum of digits (34) gives a triangular number (4477528 = T2992).

The spelling of 152235952 in words is "one hundred fifty-two million, two hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 73 82 88 136 146 164 176 187 272 289 292 328 374 451 578 584 656 697 748 803 902 1156 1168 1241 1394 1496 1606 1804 2312 2482 2788 2992 2993 3179 3212 3608 4624 4964 5576 5986 6358 6424 7216 7667 9928 11152 11849 11972 12716 12848 13651 15334 19856 21097 23698 23944 25432 27302 30668 32923 42194 47396 47888 50864 50881 54604 61336 65846 84388 94792 101762 109208 122672 130339 131692 168776 189584 203524 218416 232067 260678 263384 337552 407048 464134 521356 526768 559691 814096 864977 928268 1042712 1119382 1729954 1856536 2085424 2238764 3459908 3713072 4477528 6919816 8955056 9514747 13839632 19029494 38058988 76117976 152235952