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50249472 = 283713719
BaseRepresentation
bin1011111110101…
…1111100000000
310111112221022120
42333223330000
5100330440342
64553004240
71150053630
oct277537400
9114487276
1050249472
1126401199
12149b3680
13a544b20
1469606c0
154628aec
hex2febf00

50249472 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 13234176.

The previous prime is 50249443. The next prime is 50249483. The reversal of 50249472 is 27494205.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69529 + ... + 70247.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 250249472 is an apocalyptic number.

50249472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

50249472 is an abundant number, since it is smaller than the sum of its proper divisors (114578688).

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

50249472 is a wasteful number, since it uses less digits than its factorization.

50249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 50249472 is about 7088.6861970326. The cubic root of 50249472 is about 369.0148421260.

It can be divided in two parts, 50249 and 472, that added together give a triangular number (50721 = T318).

The spelling of 50249472 in words is "fifty million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 719 728 768 832 896 1092 1248 1344 1438 1456 1664 1792 2157 2184 2496 2688 2876 2912 3328 4314 4368 4992 5033 5376 5752 5824 8628 8736 9347 9984 10066 11504 11648 15099 17256 17472 18694 20132 23008 23296 28041 30198 34512 34944 37388 40264 46016 56082 60396 65429 69024 69888 74776 80528 92032 112164 120792 130858 138048 149552 161056 184064 196287 224328 241584 261716 276096 299104 322112 392574 448656 483168 523432 552192 598208 644224 785148 897312 966336 1046864 1196416 1288448 1570296 1794624 1932672 2093728 2392832 3140592 3589248 3865344 4187456 6281184 7178496 8374912 12562368 16749824 25124736 50249472