Search a number
-
+
604238432 = 25729191487
BaseRepresentation
bin100100000000111…
…111001001100000
31120002222111022012
4210000333021200
52214141112212
6135542532052
720654641040
oct4400771140
91502874265
10604238432
11290093306
1214a437028
1398250b45
145a36b720
15380a8922
hex2403f260

604238432 has 96 divisors (see below), whose sum is σ = 1416683520. Its totient is φ = 248209920.

The previous prime is 604238431. The next prime is 604238449. The reversal of 604238432 is 234832406.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604238431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240493 + ... + 1240979.

It is an arithmetic number, because the mean of its divisors is an integer number (14757120).

Almost surely, 2604238432 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 604238432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

604238432 is an abundant number, since it is smaller than the sum of its proper divisors (812445088).

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

604238432 is a wasteful number, since it uses less digits than its factorization.

604238432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 604238432 is about 24581.2618065062. The cubic root of 604238432 is about 845.4140249001.

The spelling of 604238432 in words is "six hundred four million, two hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 191 203 224 232 382 406 464 487 764 812 928 974 1337 1528 1624 1948 2674 3056 3248 3409 3896 5348 5539 6112 6496 6818 7792 10696 11078 13636 14123 15584 21392 22156 27272 28246 38773 42784 44312 54544 56492 77546 88624 93017 98861 109088 112984 155092 177248 186034 197722 225968 310184 372068 395444 451936 620368 651119 744136 790888 1240736 1302238 1488272 1581776 2604476 2697493 2976544 3163552 5208952 5394986 10417904 10789972 18882451 20835808 21579944 37764902 43159888 75529804 86319776 151059608 302119216 604238432