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50413968 = 2433111032
BaseRepresentation
bin1100000001010…
…0000110010000
310111212021222000
43000110012100
5100401221333
65000314000
71151340333
oct300240620
9114767860
1050413968
1126503840
1214a72900
13a5a1967
1469a461a
15465c713
hex3014190

50413968 has 120 divisors (see below), whose sum is σ = 159409440. Its totient is φ = 15128640.

The previous prime is 50413963. The next prime is 50413981. The reversal of 50413968 is 86931405.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50413963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489405 + ... + 489507.

It is an arithmetic number, because the mean of its divisors is an integer number (1328412).

Almost surely, 250413968 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 50413968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79704720).

50413968 is an abundant number, since it is smaller than the sum of its proper divisors (108995472).

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

50413968 is a wasteful number, since it uses less digits than its factorization.

50413968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 50413968 is about 7100.2794311210. The cubic root of 50413968 is about 369.4170708864.

It can be divided in two parts, 50413 and 968, that multiplied together give a palindrome (48799784).

The spelling of 50413968 in words is "fifty million, four hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 103 108 132 144 176 198 206 216 264 297 309 396 412 432 528 594 618 792 824 927 1133 1188 1236 1584 1648 1854 2266 2376 2472 2781 3399 3708 4532 4752 4944 5562 6798 7416 9064 10197 10609 11124 13596 14832 18128 20394 21218 22248 27192 30591 31827 40788 42436 44496 54384 61182 63654 81576 84872 95481 116699 122364 127308 163152 169744 190962 233398 244728 254616 286443 350097 381924 466796 489456 509232 572886 700194 763848 933592 1050291 1145772 1400388 1527696 1867184 2100582 2291544 2800776 3150873 4201164 4583088 5601552 6301746 8402328 12603492 16804656 25206984 50413968