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51242420 = 22517295197
BaseRepresentation
bin1100001101111…
…0010110110100
310120102101101102
43003132112310
5101104224140
65030145232
71161360545
oct303362664
9116371342
1051242420
1126a1a209
12151b2218
13a801a78
146b3c4cc
154772e15
hex30de5b4

51242420 has 48 divisors (see below), whose sum is σ = 117890640. Its totient is φ = 18622464.

The previous prime is 51242419. The next prime is 51242431. The reversal of 51242420 is 2424215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 234256 + 51008164 = 484^2 + 7142^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51242392 and 51242401.

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, 7262 + ... + 12458.

It is an arithmetic number, because the mean of its divisors is an integer number (2456055).

Almost surely, 251242420 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 51242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945320).

51242420 is an abundant number, since it is smaller than the sum of its proper divisors (66648220).

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

51242420 is a wasteful number, since it uses less digits than its factorization.

51242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 51242420 is about 7158.3811018973. The cubic root of 51242420 is about 371.4296284839.

Adding to 51242420 its reverse (2424215), we get a palindrome (53666635).

The spelling of 51242420 in words is "fifty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 5197 9860 10394 20788 25985 51970 88349 103940 150713 176698 301426 353396 441745 602852 753565 883490 1507130 1766980 2562121 3014260 5124242 10248484 12810605 25621210 51242420