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152391324 = 223195312611
BaseRepresentation
bin10010001010101…
…00111010011100
3101121202021121010
421011110322130
5303003010244
623042135220
73530206401
oct1105247234
9347667533
10152391324
1179025948
1243051510
13257584a7
141634c2a8
15d5a2eb9
hex9154e9c

152391324 has 48 divisors (see below), whose sum is σ = 381386880. Its totient is φ = 47211840.

The previous prime is 152391311. The next prime is 152391367. The reversal of 152391324 is 423193251.

It is a junction number, because it is equal to n+sod(n) for n = 152391291 and 152391300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5779 + ... + 18389.

It is an arithmetic number, because the mean of its divisors is an integer number (7945560).

Almost surely, 2152391324 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 152391324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190693440).

152391324 is an abundant number, since it is smaller than the sum of its proper divisors (228995556).

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

152391324 is a wasteful number, since it uses less digits than its factorization.

152391324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12690 (or 12688 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 152391324 is about 12344.6880884047. The cubic root of 152391324 is about 534.1379239463.

The spelling of 152391324 in words is "one hundred fifty-two million, three hundred ninety-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 12611 25222 37833 50444 75666 151332 239609 479218 668383 718827 958436 1336766 1437654 2005149 2673532 2875308 4010298 8020596 12699277 25398554 38097831 50797108 76195662 152391324