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1814705048 = 2313191396607
BaseRepresentation
bin110110000101010…
…0011001110011000
311200110200120100002
41230022203032120
512204031030143
6500023232132
762653511162
oct15412431630
94613616302
101814705048
11851398842
124278a8648
1322bc6b390
14133023932
15a94b05b8
hex6c2a3398

1814705048 has 64 divisors (see below), whose sum is σ = 3885504000. Its totient is φ = 787646592.

The previous prime is 1814705047. The next prime is 1814705089. The reversal of 1814705048 is 8405074181.

It is a happy number.

It is a super-2 number, since 2×18147050482 = 6586308822473364608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814705047) 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, 271361 + ... + 277967.

It is an arithmetic number, because the mean of its divisors is an integer number (60711000).

Almost surely, 21814705048 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 1814705048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942752000).

1814705048 is an abundant number, since it is smaller than the sum of its proper divisors (2070798952).

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

1814705048 is a wasteful number, since it uses less digits than its factorization.

1814705048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 1814705048 is about 42599.3550185915. The cubic root of 1814705048 is about 1219.7439774507.

The spelling of 1814705048 in words is "one billion, eight hundred fourteen million, seven hundred five thousand, forty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 139 152 247 278 494 556 988 1112 1807 1976 2641 3614 5282 6607 7228 10564 13214 14456 21128 26428 34333 52856 68666 85891 125533 137332 171782 251066 274664 343564 502132 687128 918373 1004264 1631929 1836746 3263858 3673492 6527716 7346984 11938849 13055432 17449087 23877698 34898174 47755396 69796348 95510792 139592696 226838131 453676262 907352524 1814705048