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1809935472 = 243291936737
BaseRepresentation
bin110101111100001…
…0110110001110000
311200010201020201010
41223320112301300
512201320413342
6455333110520
762565124542
oct15370266160
94603636633
101809935472
11849730344
12426188440
1322ac8b447
14132541692
15a8d6c29c
hex6be16c70

1809935472 has 80 divisors (see below), whose sum is σ = 4862679840. Its totient is φ = 579403776.

The previous prime is 1809935461. The next prime is 1809935483. The reversal of 1809935472 is 2745399081.

1809935472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1809935461) and next prime (1809935483).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 265288 + ... + 272024.

It is an arithmetic number, because the mean of its divisors is an integer number (60783498).

Almost surely, 21809935472 is an apocalyptic number.

1809935472 is a gapful number since it is divisible by the number (12) 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 1809935472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431339920).

1809935472 is an abundant number, since it is smaller than the sum of its proper divisors (3052744368).

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

1809935472 is a wasteful number, since it uses less digits than its factorization.

1809935472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1809935472 is about 42543.3363994880. The cubic root of 1809935472 is about 1218.6744251467.

The spelling of 1809935472 in words is "one billion, eight hundred nine million, nine hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 193 232 348 386 464 579 696 772 1158 1392 1544 2316 3088 4632 5597 6737 9264 11194 13474 16791 20211 22388 26948 33582 40422 44776 53896 67164 80844 89552 107792 134328 161688 195373 268656 323376 390746 586119 781492 1172238 1300241 1562984 2344476 2600482 3125968 3900723 4688952 5200964 7801446 9377904 10401928 15602892 20803856 31205784 37706989 62411568 75413978 113120967 150827956 226241934 301655912 452483868 603311824 904967736 1809935472