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50413272 = 23371341563
BaseRepresentation
bin1100000001001…
…1111011011000
310111212021000020
43000103323120
5100401211042
65000310440
71151335320
oct300237330
9114767006
1050413272
1126503268
1214a72420
13a5a1550
1469a4280
15465c3ec
hex3013ed8

50413272 has 128 divisors (see below), whose sum is σ = 159183360. Its totient is φ = 12948480.

The previous prime is 50413261. The next prime is 50413273. The reversal of 50413272 is 27231405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50413273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89263 + ... + 89825.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 250413272 is an apocalyptic number.

50413272 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 50413272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79591680).

50413272 is an abundant number, since it is smaller than the sum of its proper divisors (108770088).

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

50413272 is a wasteful number, since it uses less digits than its factorization.

50413272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 50413272 is about 7100.2304187963. The cubic root of 50413272 is about 369.4153708584.

Adding to 50413272 its reverse (27231405), we get a palindrome (77644677).

The spelling of 50413272 in words is "fifty million, four hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 533 546 563 574 728 861 984 1066 1092 1126 1148 1599 1689 1722 2132 2184 2252 2296 3198 3378 3444 3731 3941 4264 4504 6396 6756 6888 7319 7462 7882 11193 11823 12792 13512 14638 14924 15764 21957 22386 23083 23646 29276 29848 31528 43914 44772 46166 47292 51233 58552 69249 87828 89544 92332 94584 102466 138498 153699 161581 175656 184664 204932 276996 300079 307398 323162 409864 484743 553992 600158 614796 646324 900237 969486 1200316 1229592 1292648 1800474 1938972 2100553 2400632 3600948 3877944 4201106 6301659 7201896 8402212 12603318 16804424 25206636 50413272