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50401792 = 297441
BaseRepresentation
bin1100000001000…
…1001000000000
310111211200021001
43000101020000
5100400324132
65000141344
71151260000
oct300211000
9114750231
1050401792
11264a5681
1214a67854
13a59925c
1469a0000
154658ce7
hex3011200

50401792 has 100 divisors (see below), whose sum is σ = 120347766. Its totient is φ = 21073920.

The previous prime is 50401777. The next prime is 50401801. The reversal of 50401792 is 29710405.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 614656 = 7056^2 + 784^2 .

It is a super-2 number, since 2×504017922 = 5080681273622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 50401792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1229292 + ... + 1229332.

Almost surely, 250401792 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 50401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60173883).

50401792 is an abundant number, since it is smaller than the sum of its proper divisors (69945974).

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

50401792 is an frugal number, since it uses more digits than its factorization.

50401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 50401792 is about 7099.4219482997. The cubic root of 50401792 is about 369.3873279097.

The spelling of 50401792 in words is "fifty million, four hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 343 392 448 512 574 656 686 784 896 1148 1312 1372 1568 1792 2009 2296 2401 2624 2744 3136 3584 4018 4592 4802 5248 5488 6272 8036 9184 9604 10496 10976 12544 14063 16072 18368 19208 20992 21952 25088 28126 32144 36736 38416 43904 56252 64288 73472 76832 87808 98441 112504 128576 146944 153664 175616 196882 225008 257152 307328 393764 450016 514304 614656 787528 900032 1028608 1229312 1575056 1800064 3150112 3600128 6300224 7200256 12600448 25200896 50401792