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4196496240 = 24325171672053
BaseRepresentation
bin1111101000100001…
…0111001101110000
3101211110110002121200
43322020113031300
532043300334430
61532225251200
7205664425626
oct37210271560
911743402550
104196496240
1118638a3812
12991493b00
1351b54cc91
142bb4a3516
1519863b460
hexfa217370

4196496240 has 240 divisors, whose sum is σ = 15018913728. Its totient is φ = 1046421504.

The previous prime is 4196496233. The next prime is 4196496277. The reversal of 4196496240 is 426946914.

4196496240 is a `hidden beast` number, since 4 + 19 + 6 + 4 + 9 + 624 + 0 = 666.

4196496240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×41964962402 = 35221161384668275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043054 + ... + 2045106.

Almost surely, 24196496240 is an apocalyptic number.

4196496240 is a gapful number since it is divisible by the number (40) 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 4196496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509456864).

4196496240 is an abundant number, since it is smaller than the sum of its proper divisors (10822417488).

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

4196496240 is a wasteful number, since it uses less digits than its factorization.

4196496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4196496240 is about 64780.3692487161. The cubic root of 4196496240 is about 1612.9798651146.

The spelling of 4196496240 in words is "four billion, one hundred ninety-six million, four hundred ninety-six thousand, two hundred forty".