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78825252 = 22311797559
BaseRepresentation
bin1001011001011…
…00011100100100
312111022201220210
410230230130210
5130134402002
611453255420
71645001142
oct454543444
9174281823
1078825252
1140549640
1222494570
131343b77c
14a67c592
156dc096c
hex4b2c724

78825252 has 48 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 23580960.

The previous prime is 78825223. The next prime is 78825269. The reversal of 78825252 is 25252887.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 78825252.

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, 6649 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 278825252 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 78825252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

78825252 is an abundant number, since it is smaller than the sum of its proper divisors (124387548).

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

78825252 is a wasteful number, since it uses less digits than its factorization.

78825252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7654 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 78825252 is about 8878.3586320896. The cubic root of 78825252 is about 428.7674311720.

The spelling of 78825252 in words is "seventy-eight million, eight hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 7559 10428 15118 22677 30236 45354 83149 90708 166298 249447 332596 498894 597161 997788 1194322 1791483 2388644 3582966 6568771 7165932 13137542 19706313 26275084 39412626 78825252