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51419124 = 22341511051
BaseRepresentation
bin1100010000100…
…1011111110100
310120202100210000
43010021133310
5101130402444
65034031300
71163024661
oct304113764
9116670700
1051419124
112702aa49
1215278530
13a864323
146b86a68
1547aa469
hex31097f4

51419124 has 60 divisors (see below), whose sum is σ = 135438688. Its totient is φ = 17010000.

The previous prime is 51419113. The next prime is 51419131. The reversal of 51419124 is 42191415.

51419124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48399 + ... + 49449.

Almost surely, 251419124 is an apocalyptic number.

51419124 is a gapful number since it is divisible by the number (54) 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 51419124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67719344).

51419124 is an abundant number, since it is smaller than the sum of its proper divisors (84019564).

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

51419124 is a wasteful number, since it uses less digits than its factorization.

51419124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51419124 is about 7170.7129352666. The cubic root of 51419124 is about 371.8560837682.

The spelling of 51419124 in words is "fifty-one million, four hundred nineteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 453 604 906 1051 1359 1812 2102 2718 3153 4077 4204 5436 6306 8154 9459 12231 12612 16308 18918 24462 28377 37836 48924 56754 85131 113508 158701 170262 317402 340524 476103 634804 952206 1428309 1904412 2856618 4284927 5713236 8569854 12854781 17139708 25709562 51419124