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152433424 = 241113173919
BaseRepresentation
bin10010001010111…
…11001100010000
3101121211102100101
421011133030100
5303010332144
623043102144
73530443213
oct1105371420
9347742311
10152433424
1179054540
1243071954
13257716c0
141635d77a
15d5b06d4
hex915f310

152433424 has 80 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 60180480.

The previous prime is 152433419. The next prime is 152433427. The reversal of 152433424 is 424334251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152433392 and 152433401.

It is not an unprimeable number, because it can be changed into a prime (152433427) 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, 36937 + ... + 40855.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2152433424 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 152433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

152433424 is an abundant number, since it is smaller than the sum of its proper divisors (215043056).

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

152433424 is a wasteful number, since it uses less digits than its factorization.

152433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3962 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 152433424 is about 12346.3931575177. The cubic root of 152433424 is about 534.1871068340.

Adding to 152433424 its reverse (424334251), we get a palindrome (576767675).

It can be divided in two parts, 1 and 52433424, that added together give a palindrome (52433425).

The spelling of 152433424 in words is "one hundred fifty-two million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 3919 4862 7838 9724 15676 19448 31352 38896 43109 50947 62704 66623 86218 101894 133246 172436 203788 266492 344872 407576 532984 560417 689744 732853 815152 866099 1065968 1120834 1465706 1732198 2241668 2931412 3464396 4483336 5862824 6928792 8966672 9527089 11725648 13857584 19054178 38108356 76216712 152433424