Search a number
-
+
4050511542 = 2337112195979
BaseRepresentation
bin1111000101101101…
…1110011010110110
3101110021202022021000
43301123132122312
531243412332132
61505532304130
7202242531360
oct36133363266
911407668230
104050511542
111799454300
12950612046
134c72288bc
142a5d41d30
1518a90187c
hexf16de6b6

4050511542 has 384 divisors, whose sum is σ = 12257280000. Its totient is φ = 967412160.

The previous prime is 4050511441. The next prime is 4050511603. The reversal of 4050511542 is 2451150504.

4050511542 is a `hidden beast` number, since 4 + 0 + 505 + 1 + 154 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51272259 + ... + 51272337.

It is an arithmetic number, because the mean of its divisors is an integer number (31920000).

Almost surely, 24050511542 is an apocalyptic number.

4050511542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050511542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640000).

4050511542 is an abundant number, since it is smaller than the sum of its proper divisors (8206768458).

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

4050511542 is a wasteful number, since it uses less digits than its factorization.

4050511542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 4050511542 is about 63643.6292334119. The cubic root of 4050511542 is about 1594.0549613795.

The spelling of 4050511542 in words is "four billion, fifty million, five hundred eleven thousand, five hundred forty-two".