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50778672 = 2437791913
BaseRepresentation
bin1100000110110…
…1001000110000
310112112211020120
43001231020300
5100444404142
65012210240
71154416530
oct301551060
9115484216
1050778672
112673284a
1215009980
13a69b969
146a5b4c0
1546d07ec
hex306d230

50778672 has 80 divisors (see below), whose sum is σ = 151895040. Its totient is φ = 14317056.

The previous prime is 50778671. The next prime is 50778709. The reversal of 50778672 is 27687705.

It is a super-3 number, since 3×507786723 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (50778671) 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, 25588 + ... + 27500.

It is an arithmetic number, because the mean of its divisors is an integer number (1898688).

Almost surely, 250778672 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 50778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947520).

50778672 is an abundant number, since it is smaller than the sum of its proper divisors (101116368).

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

50778672 is a wasteful number, since it uses less digits than its factorization.

50778672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 50778672 is about 7125.9155201279. The cubic root of 50778672 is about 370.3057419301.

The spelling of 50778672 in words is "fifty million, seven hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 1913 2212 3318 3792 3826 4424 5739 6636 7652 8848 11478 13272 13391 15304 22956 26544 26782 30608 40173 45912 53564 80346 91824 107128 151127 160692 214256 302254 321384 453381 604508 642768 906762 1057889 1209016 1813524 2115778 2418032 3173667 3627048 4231556 6347334 7254096 8463112 12694668 16926224 25389336 50778672