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51153066 = 23383101113
BaseRepresentation
bin1100001100100…
…0100010101010
310120020211211000
43003020202222
5101043344231
65024215430
71160536206
oct303104252
9116224730
1051153066
1126969068
121516a576
13a7a01b3
146b17b06
1547566e6
hex30c88aa

51153066 has 64 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 16531200.

The previous prime is 51153043. The next prime is 51153077. The reversal of 51153066 is 66035115.

It is a happy number.

It is a super-2 number, since 2×511530662 = 5233272322400712, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452626 + ... + 452738.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 251153066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51153066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

51153066 is an abundant number, since it is smaller than the sum of its proper divisors (66057174).

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

51153066 is a wasteful number, since it uses less digits than its factorization.

51153066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51153066 is about 7152.1371631143. The cubic root of 51153066 is about 371.2136093297.

The spelling of 51153066 in words is "fifty-one million, one hundred fifty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 83 101 113 166 202 226 249 303 339 498 606 678 747 909 1017 1494 1818 2034 2241 2727 3051 4482 5454 6102 8383 9379 11413 16766 18758 22826 25149 28137 34239 50298 56274 68478 75447 84411 102717 150894 168822 205434 226341 253233 308151 452682 506466 616302 947279 1894558 2841837 5683674 8525511 17051022 25576533 51153066