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51229984 = 251329473
BaseRepresentation
bin1100001101101…
…1010100100000
310120101202022211
43003123110200
5101103324414
65030011504
71161306361
oct303332440
9116352284
1051229984
1126a10933
12151a6b94
13a7c9200
146b37b68
15476e3c4
hex30db520

51229984 has 36 divisors (see below), whose sum is σ = 109225746. Its totient is φ = 23642112.

The previous prime is 51229967. The next prime is 51229987. The reversal of 51229984 is 48992215.

It can be written as a sum of positive squares in 3 ways, for example, as 40602384 + 10627600 = 6372^2 + 3260^2 .

It is a super-2 number, since 2×512299842 = 5249022521280512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51229987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672 + ... + 10144.

Almost surely, 251229984 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 51229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54612873).

51229984 is an abundant number, since it is smaller than the sum of its proper divisors (57995762).

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

51229984 is a wasteful number, since it uses less digits than its factorization.

51229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9488 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 51229984 is about 7157.5124170343. The cubic root of 51229984 is about 371.3995786893.

The spelling of 51229984 in words is "fifty-one million, two hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 9473 18946 37892 75784 123149 151568 246298 303136 492596 985192 1600937 1970384 3201874 3940768 6403748 12807496 25614992 51229984