Search a number
-
+
4026290760 = 2333519223449
BaseRepresentation
bin1110111111111100…
…0101001001001000
3101101121011202121000
43233333011021020
531221212301020
61503305215000
7201526623012
oct35777051110
911347152530
104026290760
111786810928
12944491460
134c21c828b
142a2a391b2
1518871a090
hexeffc5248

4026290760 has 384 divisors, whose sum is σ = 14813280000. Its totient is φ = 970776576.

The previous prime is 4026290747. The next prime is 4026290773. The reversal of 4026290760 is 670926204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4026290747) and next prime (4026290773).

It is a super-2 number, since 2×40262907602 = 32422034568122755200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8967016 + ... + 8967464.

It is an arithmetic number, because the mean of its divisors is an integer number (38576250).

Almost surely, 24026290760 is an apocalyptic number.

4026290760 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 4026290760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406640000).

4026290760 is an abundant number, since it is smaller than the sum of its proper divisors (10786989240).

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

4026290760 is a wasteful number, since it uses less digits than its factorization.

4026290760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4026290760 is about 63453.0595007049. The cubic root of 4026290760 is about 1590.8712917733.

The spelling of 4026290760 in words is "four billion, twenty-six million, two hundred ninety thousand, seven hundred sixty".