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50142672 = 24331941149
BaseRepresentation
bin1011111101000…
…1110111010000
310111100111211000
42333101313100
5100314031142
64550422000
71146130356
oct277216720
9114314730
1050142672
1126338a28
1214961900
13a508328
1469337d6
15460714c
hex2fd1dd0

50142672 has 160 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 15344640.

The previous prime is 50142667. The next prime is 50142709. The reversal of 50142672 is 27624105.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336454 + ... + 336602.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 250142672 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 50142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

50142672 is an abundant number, since it is smaller than the sum of its proper divisors (106097328).

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

50142672 is a wasteful number, since it uses less digits than its factorization.

50142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 50142672 is about 7081.1490592982. The cubic root of 50142672 is about 368.7532225324.

Adding to 50142672 its reverse (27624105), we get a palindrome (77766777).

The spelling of 50142672 in words is "fifty million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 72 76 82 108 114 123 144 149 152 164 171 216 228 246 298 304 328 342 369 432 447 456 492 513 596 656 684 738 779 894 912 984 1026 1107 1192 1341 1368 1476 1558 1788 1968 2052 2214 2337 2384 2682 2736 2831 2952 3116 3576 4023 4104 4428 4674 5364 5662 5904 6109 6232 7011 7152 8046 8208 8493 8856 9348 10728 11324 12218 12464 14022 16092 16986 17712 18327 18696 21033 21456 22648 24436 25479 28044 32184 33972 36654 37392 42066 45296 48872 50958 54981 56088 64368 67944 73308 76437 84132 97744 101916 109962 112176 116071 135888 146616 152874 164943 168264 203832 219924 232142 293232 305748 329886 336528 348213 407664 439848 464284 611496 659772 696426 879696 928568 1044639 1222992 1319544 1392852 1857136 2089278 2639088 2785704 3133917 4178556 5571408 6267834 8357112 12535668 16714224 25071336 50142672