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50078144 = 263143587
BaseRepresentation
bin1011111100001…
…0000111000000
310111020020022002
42333002013000
5100310000034
64545203132
71145441264
oct277020700
9114206262
1050078144
11262a44a6
12149304a8
13a4b4b4c
1469180a4
1545e2e7e
hex2fc21c0

50078144 has 56 divisors (see below), whose sum is σ = 105143808. Its totient is φ = 23627520.

The previous prime is 50078117. The next prime is 50078159. The reversal of 50078144 is 44187005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85019 + ... + 85605.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 250078144 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 50078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52571904).

50078144 is an abundant number, since it is smaller than the sum of its proper divisors (55065664).

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

50078144 is a wasteful number, since it uses less digits than its factorization.

50078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 50078144 is about 7076.5912698135. The cubic root of 50078144 is about 368.5949732713.

The spelling of 50078144 in words is "fifty million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 587 688 992 1174 1333 1376 1984 2348 2666 2752 4696 5332 9392 10664 18197 18784 21328 25241 36394 37568 42656 50482 72788 85312 100964 145576 201928 291152 403856 582304 782471 807712 1164608 1564942 1615424 3129884 6259768 12519536 25039072 50078144