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50806272 = 293113197
BaseRepresentation
bin1100000111001…
…1111000000000
310112121020002210
43001303320000
5101001300042
65012542120
71154563146
oct301637000
9115536083
1050806272
1126751560
1215021940
13a6ab3aa
146a67596
1546d8a9c
hex3073e00

50806272 has 160 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 14745600.

The previous prime is 50806271. The next prime is 50806279. The reversal of 50806272 is 27260805.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50806271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523728 + ... + 523824.

Almost surely, 250806272 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 50806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

50806272 is an abundant number, since it is smaller than the sum of its proper divisors (103183872).

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

50806272 is a wasteful number, since it uses less digits than its factorization.

50806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 50806272 is about 7127.8518503123. The cubic root of 50806272 is about 370.3728211907.

The spelling of 50806272 in words is "fifty million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 97 124 128 132 176 186 192 194 248 256 264 291 341 352 372 384 388 496 512 528 582 682 704 744 768 776 992 1023 1056 1067 1164 1364 1408 1488 1536 1552 1984 2046 2112 2134 2328 2728 2816 2976 3007 3104 3201 3968 4092 4224 4268 4656 5456 5632 5952 6014 6208 6402 7936 8184 8448 8536 9021 9312 10912 11904 12028 12416 12804 15872 16368 16896 17072 18042 18624 21824 23808 24056 24832 25608 32736 33077 34144 36084 37248 43648 47616 48112 49664 51216 65472 66154 68288 72168 74496 87296 96224 99231 102432 130944 132308 136576 144336 148992 174592 192448 198462 204864 261888 264616 273152 288672 384896 396924 409728 523776 529232 546304 577344 769792 793848 819456 1058464 1154688 1539584 1587696 1638912 2116928 2309376 3175392 4233856 4618752 6350784 8467712 12701568 16935424 25403136 50806272