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1013624442 = 23510320249
BaseRepresentation
bin111100011010101…
…010111001111010
32121122022110100000
4330122222321322
54033441440232
6244325253430
734055444205
oct7432527172
92548273300
101013624442
1148018a056
12243564276
13131cca69c
149889693c
155dec327c
hex3c6aae7a

1013624442 has 48 divisors (see below), whose sum is σ = 2299752000. Its totient is φ = 334577952.

The previous prime is 1013624429. The next prime is 1013624459. The reversal of 1013624442 is 2444263101.

It is a happy number.

It is a super-2 number, since 2×10136244422 = 2054869018839622728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39934 + ... + 60182.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 21013624442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013624442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876000).

1013624442 is an abundant number, since it is smaller than the sum of its proper divisors (1286127558).

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

1013624442 is a wasteful number, since it uses less digits than its factorization.

1013624442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1013624442 is about 31837.4691519285. The cubic root of 1013624442 is about 1004.5210103298.

Adding to 1013624442 its reverse (2444263101), we get a palindrome (3457887543).

The spelling of 1013624442 in words is "one billion, thirteen million, six hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 927 1854 2781 5562 8343 16686 20249 25029 40498 50058 60747 121494 182241 364482 546723 1093446 1640169 2085647 3280338 4171294 4920507 6256941 9841014 12513882 18770823 37541646 56312469 112624938 168937407 337874814 506812221 1013624442