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50379840 = 263357317
BaseRepresentation
bin1100000000101…
…1110001000000
310111210120011000
43000023301000
5100344123330
64555452000
71151136000
oct300136100
9114716130
1050379840
1126490135
1214a57000
13a58c274
146996000
154652560
hex300bc40

50379840 has 448 divisors, whose sum is σ = 219456000. Its totient is φ = 10838016.

The previous prime is 50379827. The next prime is 50379851. The reversal of 50379840 is 4897305.

50379840 is a `hidden beast` number, since 503 + 79 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 50379795 and 50379804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963512 + ... + 2963528.

Almost surely, 250379840 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 50379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

50379840 is an abundant number, since it is smaller than the sum of its proper divisors (169076160).

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

50379840 is a wasteful number, since it uses less digits than its factorization.

50379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 50379840 is about 7097.8757385573. The cubic root of 50379840 is about 369.3336924613. Note that the first 3 decimals are identical.

The spelling of 50379840 in words is "fifty million, three hundred seventy-nine thousand, eight hundred forty".