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4226781240 = 23325115979229
BaseRepresentation
bin1111101111101111…
…1001000000111000
3101220120102201211100
43323323321000320
532124023444430
61535230331400
7206513022243
oct37373710070
911816381740
104226781240
1118799a9340
1299b659b60
135248c48b6
142c150825a
1519b11e960
hexfbef9038

4226781240 has 384 divisors, whose sum is σ = 15500160000. Its totient is φ = 990213120.

The previous prime is 4226781239. The next prime is 4226781257. The reversal of 4226781240 is 421876224.

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 = 4226781195 and 4226781204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18457446 + ... + 18457674.

It is an arithmetic number, because the mean of its divisors is an integer number (40365000).

Almost surely, 24226781240 is an apocalyptic number.

4226781240 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 4226781240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750080000).

4226781240 is an abundant number, since it is smaller than the sum of its proper divisors (11273378760).

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

4226781240 is a wasteful number, since it uses less digits than its factorization.

4226781240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4226781240 is about 65013.7004022998. The cubic root of 4226781240 is about 1616.8507176058.

The spelling of 4226781240 in words is "four billion, two hundred twenty-six million, seven hundred eighty-one thousand, two hundred forty".