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50405742 = 232231091117
BaseRepresentation
bin1100000001001…
…0000101101110
310111211212200100
43000102011232
5100400440432
65000211530
71151304342
oct300220556
9114755610
1050405742
11264a8642
1214a69ba6
13a59acaa
1469a1622
15465a07c
hex301216e

50405742 has 48 divisors (see below), whose sum is σ = 115109280. Its totient is φ = 15909696.

The previous prime is 50405737. The next prime is 50405779. The reversal of 50405742 is 24750405.

50405742 is a `hidden beast` number, since 50 + 40 + 574 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44568 + ... + 45684.

It is an arithmetic number, because the mean of its divisors is an integer number (2398110).

Almost surely, 250405742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50405742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57554640).

50405742 is an abundant number, since it is smaller than the sum of its proper divisors (64703538).

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

50405742 is a wasteful number, since it uses less digits than its factorization.

50405742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 50405742 is about 7099.7001345127. The cubic root of 50405742 is about 369.3969773142.

The spelling of 50405742 in words is "fifty million, four hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 109 138 207 218 327 414 654 981 1117 1962 2234 2507 3351 5014 6702 7521 10053 15042 20106 22563 25691 45126 51382 77073 121753 154146 231219 243506 365259 462438 730518 1095777 2191554 2800319 5600638 8400957 16801914 25202871 50405742