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5262007296 = 210372132689
BaseRepresentation
bin1001110011010001…
…11101110000000000
3111120201101200000010
410321220331300000
541234033213141
62230051024520
7244253216100
oct47150756000
914521350003
105262007296
1122602a1a67
12102a29b140
1365b2166b0
1437cbc5200
1520be5d416
hex139a3dc00

5262007296 has 264 divisors, whose sum is σ = 17576524560. Its totient is φ = 1387266048.

The previous prime is 5262007291. The next prime is 5262007337. The reversal of 5262007296 is 6927002625.

It is a happy number.

It is a super-3 number, since 3×52620072963 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262007291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955520 + ... + 1958208.

Almost surely, 25262007296 is an apocalyptic number.

5262007296 is a gapful number since it is divisible by the number (56) 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 5262007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788262280).

5262007296 is an abundant number, since it is smaller than the sum of its proper divisors (12314517264).

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

5262007296 is a wasteful number, since it uses less digits than its factorization.

5262007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5262007296 is about 72539.6946230131. The cubic root of 5262007296 is about 1739.3373193234.

The spelling of 5262007296 in words is "five billion, two hundred sixty-two million, seven thousand, two hundred ninety-six".