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50729472 = 2932101109
BaseRepresentation
bin1100000110000…
…1001000000000
310112110022202100
43001201020000
5100441320342
65011150400
71154123223
oct301411000
9115408670
1050729472
11266a9892
1214ba5400
13a682451
146a475ba
1546c0e4c
hex3061200

50729472 has 120 divisors (see below), whose sum is σ = 149214780. Its totient is φ = 16588800.

The previous prime is 50729461. The next prime is 50729473. The reversal of 50729472 is 27492705.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 7485696 = 6576^2 + 2736^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (50729473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465354 + ... + 465462.

Almost surely, 250729472 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 50729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74607390).

50729472 is an abundant number, since it is smaller than the sum of its proper divisors (98485308).

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

50729472 is a wasteful number, since it uses less digits than its factorization.

50729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 50729472 is about 7122.4624955138. The cubic root of 50729472 is about 370.1861055476.

The spelling of 50729472 in words is "fifty million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 109 128 144 192 202 218 256 288 303 327 384 404 436 512 576 606 654 768 808 872 909 981 1152 1212 1308 1536 1616 1744 1818 1962 2304 2424 2616 3232 3488 3636 3924 4608 4848 5232 6464 6976 7272 7848 9696 10464 11009 12928 13952 14544 15696 19392 20928 22018 25856 27904 29088 31392 33027 38784 41856 44036 51712 55808 58176 62784 66054 77568 83712 88072 99081 116352 125568 132108 155136 167424 176144 198162 232704 251136 264216 352288 396324 465408 502272 528432 704576 792648 1056864 1409152 1585296 2113728 2818304 3170592 4227456 5636608 6341184 8454912 12682368 16909824 25364736 50729472