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5242968 = 23362931
BaseRepresentation
bin10100000000000001011000
3100212101000000
4110000001120
52320233333
6304213000
762364423
oct24000130
910771000
105242968
112a61135
12190a160
131117563
149a69ba
156d8713
hex500058

5242968 has 112 divisors (see below), whose sum is σ = 15739200. Its totient is φ = 1632960.

The previous prime is 5242967. The next prime is 5242969. The reversal of 5242968 is 8692425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5242967) and next prime (5242969).

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

It is a d-powerful number, because it can be written as 5 + 220 + 4 + 222 + 9 + 6 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5242961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 169113 + ... + 169143.

Almost surely, 25242968 is an apocalyptic number.

5242968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869600).

5242968 is an abundant number, since it is smaller than the sum of its proper divisors (10496232).

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

5242968 is a wasteful number, since it uses less digits than its factorization.

5242968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5242968 is about 2289.7528250883. The cubic root of 5242968 is about 173.7236994161.

The spelling of 5242968 in words is "five million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 81 87 93 108 116 124 162 174 186 216 232 243 248 261 279 324 348 372 486 522 558 648 696 729 744 783 837 899 972 1044 1116 1458 1566 1674 1798 1944 2088 2232 2349 2511 2697 2916 3132 3348 3596 4698 5022 5394 5832 6264 6696 7047 7192 7533 8091 9396 10044 10788 14094 15066 16182 18792 20088 21141 21576 22599 24273 28188 30132 32364 42282 45198 48546 56376 60264 64728 72819 84564 90396 97092 145638 169128 180792 194184 218457 291276 436914 582552 655371 873828 1310742 1747656 2621484 5242968