Search a number
-
+
3942263520 = 253451323399
BaseRepresentation
bin1110101011111010…
…0010101011100000
3101011202001201220000
43222332202223200
531033204413040
61451104220000
7166456454436
oct35276425340
911152051800
103942263520
111743339a28
1292030a600
134aa987b10
14295804d56
1518116d130
hexeafa2ae0

3942263520 has 240 divisors, whose sum is σ = 14983768800. Its totient is φ = 970361856.

The previous prime is 3942263491. The next prime is 3942263537. The reversal of 3942263520 is 253622493.

It is a happy number.

3942263520 is a `hidden beast` number, since 39 + 42 + 2 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×39422635202 = 31082883322245580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156781 + ... + 180179.

It is an arithmetic number, because the mean of its divisors is an integer number (62432370).

Almost surely, 23942263520 is an apocalyptic number.

3942263520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491884400).

3942263520 is an abundant number, since it is smaller than the sum of its proper divisors (11041505280).

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

3942263520 is a wasteful number, since it uses less digits than its factorization.

3942263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23422 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3942263520 is about 62787.4471530735. The cubic root of 3942263520 is about 1579.7264280926.

The spelling of 3942263520 in words is "three billion, nine hundred forty-two million, two hundred sixty-three thousand, five hundred twenty".