Search a number
-
+
51333345 = 345719953
BaseRepresentation
bin1100001111010…
…0100011100001
310120121000010000
43003310203201
5101120131340
65032130213
71162216620
oct303644341
9116530100
1051333345
1126a81558
1215236969
13a83427b
146b636b7
15478ed30
hex30f48e1

51333345 has 80 divisors (see below), whose sum is σ = 110816640. Its totient is φ = 22208256.

The previous prime is 51333329. The next prime is 51333367. The reversal of 51333345 is 54333315.

It is a happy number.

It is not a de Polignac number, because 51333345 - 24 = 51333329 is a prime.

It is a super-2 number, since 2×513333452 = 5270224617778050, 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 79 ways as a sum of consecutive naturals, for example, 53389 + ... + 54341.

It is an arithmetic number, because the mean of its divisors is an integer number (1385208).

Almost surely, 251333345 is an apocalyptic number.

It is an amenable number.

51333345 is an abundant number, since it is smaller than the sum of its proper divisors (59483295).

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

51333345 is a wasteful number, since it uses less digits than its factorization.

51333345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 987 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 51333345 is about 7164.7292342419. The cubic root of 51333345 is about 371.6491880037.

The spelling of 51333345 in words is "fifty-one million, three hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 285 315 399 405 513 567 665 855 945 953 1197 1539 1995 2565 2835 2859 3591 4765 5985 6671 7695 8577 10773 14295 17955 18107 20013 25731 33355 42885 53865 54321 60039 77193 90535 100065 126749 128655 162963 180117 271605 300195 380247 385965 488889 540351 633745 814815 900585 1140741 1466667 1901235 2444445 2701755 3422223 5703705 7333335 10266669 17111115 51333345