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50002272 = 2534101191
BaseRepresentation
bin1011111010111…
…1100101100000
310111002101020000
42332233211200
5100300033042
64543420000
71145004135
oct276574540
9114071200
1050002272
11262524a1
12148b4600
13a489458
1468d858c
1545ca74c
hex2faf960

50002272 has 120 divisors (see below), whose sum is σ = 149288832. Its totient is φ = 16416000.

The previous prime is 50002259. The next prime is 50002273. The reversal of 50002272 is 27220005.

It is a happy number.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50002273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 261697 + ... + 261887.

Almost surely, 250002272 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 50002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74644416).

50002272 is an abundant number, since it is smaller than the sum of its proper divisors (99286560).

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

50002272 is a wasteful number, since it uses less digits than its factorization.

50002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 50002272 is about 7071.2284647012. The cubic root of 50002272 is about 368.4087298592.

Adding to 50002272 its reverse (27220005), we get a palindrome (77222277).

The spelling of 50002272 in words is "fifty million, two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 101 108 144 162 191 202 216 288 303 324 382 404 432 573 606 648 764 808 864 909 1146 1212 1296 1528 1616 1719 1818 2292 2424 2592 2727 3056 3232 3438 3636 4584 4848 5157 5454 6112 6876 7272 8181 9168 9696 10314 10908 13752 14544 15471 16362 18336 19291 20628 21816 27504 29088 30942 32724 38582 41256 43632 55008 57873 61884 65448 77164 82512 87264 115746 123768 130896 154328 165024 173619 231492 247536 261792 308656 347238 462984 495072 520857 617312 694476 925968 1041714 1388952 1562571 1851936 2083428 2777904 3125142 4166856 5555808 6250284 8333712 12500568 16667424 25001136 50002272