Search a number
-
+
152328384 = 2633136781
BaseRepresentation
bin10010001010001…
…01100011000000
3101121122002021000
421011011203000
5302444002014
623040532000
73526525035
oct1105054300
9347562230
10152328384
1178a9262a
1243021000
1325735950
141633338c
15d58e509
hex91458c0

152328384 has 112 divisors (see below), whose sum is σ = 482335840. Its totient is φ = 46863360.

The previous prime is 152328373. The next prime is 152328391. The reversal of 152328384 is 483823251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19074 + ... + 25854.

It is an arithmetic number, because the mean of its divisors is an integer number (4306570).

Almost surely, 2152328384 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 152328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241167920).

152328384 is an abundant number, since it is smaller than the sum of its proper divisors (330007456).

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

152328384 is a wasteful number, since it uses less digits than its factorization.

152328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6799 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 152328384 is about 12342.1385505106. The cubic root of 152328384 is about 534.0643780483.

The spelling of 152328384 in words is "one hundred fifty-two million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 6781 7488 11232 13562 20343 22464 27124 40686 54248 61029 81372 88153 108496 122058 162744 176306 183087 216992 244116 264459 325488 352612 366174 433984 488232 528918 650976 705224 732348 793377 976464 1057836 1301952 1410448 1464696 1586754 1952928 2115672 2380131 2820896 2929392 3173508 3905856 4231344 4760262 5641792 5858784 6347016 8462688 9520524 11717568 12694032 16925376 19041048 25388064 38082096 50776128 76164192 152328384