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50142456 = 23337132551
BaseRepresentation
bin1011111101000…
…1110011111000
310111100111112000
42333101303320
5100314024311
64550421000
71146126630
oct277216370
9114314460
1050142456
1126338851
1214961760
13a5081c0
1469336c0
154607056
hex2fd1cf8

50142456 has 128 divisors (see below), whose sum is σ = 171494400. Its totient is φ = 13219200.

The previous prime is 50142451. The next prime is 50142457. The reversal of 50142456 is 65424105.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50142451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18381 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (1339800).

Almost surely, 250142456 is an apocalyptic number.

50142456 is a gapful number since it is divisible by the number (56) 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 50142456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85747200).

50142456 is an abundant number, since it is smaller than the sum of its proper divisors (121351944).

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

50142456 is a wasteful number, since it uses less digits than its factorization.

50142456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 50142456 is about 7081.1338075198. The cubic root of 50142456 is about 368.7526930379.

The spelling of 50142456 in words is "fifty million, one hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2551 2808 3276 4914 5102 6552 7653 9828 10204 15306 17857 19656 20408 22959 30612 33163 35714 45918 53571 61224 66326 68877 71428 91836 99489 107142 132652 137754 142856 160713 183672 198978 214284 232141 265304 275508 298467 321426 397956 428568 464282 482139 551016 596934 642852 696423 795912 895401 928564 964278 1193868 1285704 1392846 1790802 1857128 1928556 2089269 2387736 2785692 3581604 3857112 4178538 5571384 6267807 7163208 8357076 12535614 16714152 25071228 50142456