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50106672 = 24327114519
BaseRepresentation
bin1011111100100…
…1000100110000
310111021200102200
42333021010300
5100311403142
64545543200
71145620410
oct277110460
9114250380
1050106672
1126313980
1214944b00
13a4c4b25
146924640
1545eb64c
hex2fc9130

50106672 has 120 divisors (see below), whose sum is σ = 174869760. Its totient is φ = 13011840.

The previous prime is 50106671. The next prime is 50106691. The reversal of 50106672 is 27660105.

It is not an unprimeable number, because it can be changed into a prime (50106671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8829 + ... + 13347.

It is an arithmetic number, because the mean of its divisors is an integer number (1457248).

Almost surely, 250106672 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 50106672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87434880).

50106672 is an abundant number, since it is smaller than the sum of its proper divisors (124763088).

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

50106672 is a wasteful number, since it uses less digits than its factorization.

50106672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 50106672 is about 7078.6066425533. The cubic root of 50106672 is about 368.6649524442.

Adding to 50106672 its reverse (27660105), we get a palindrome (77766777).

The spelling of 50106672 in words is "fifty million, one hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4519 5544 9038 11088 13557 18076 27114 31633 36152 40671 49709 54228 63266 72304 81342 94899 99418 108456 126532 149127 162684 189798 198836 216912 253064 284697 298254 325368 347963 379596 397672 447381 506128 569394 596508 650736 695926 759192 795344 894762 1043889 1138788 1193016 1391852 1518384 1789524 2087778 2277576 2386032 2783704 3131667 3579048 4175556 4555152 5567408 6263334 7158096 8351112 12526668 16702224 25053336 50106672