Search a number
-
+
7038490368 = 283713261127
BaseRepresentation
bin1101000111000011…
…01101011100000000
3200011112011100122110
412203201231130000
5103403323142433
63122231135320
7336264116040
oct64341553400
920145140573
107038490368
112a92053a98
121445214540
13882291600
144aaad9720
152b2dbd963
hex1a386d700

7038490368 has 432 divisors, whose sum is σ = 23747813376. Its totient is φ = 1811496960.

The previous prime is 7038490273. The next prime is 7038490379. The reversal of 7038490368 is 8630948307.

7038490368 = T12392 + T12393 + ... + T12482.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 55421121 + ... + 55421247.

Almost surely, 27038490368 is an apocalyptic number.

7038490368 is a gapful number since it is divisible by the number (78) 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 7038490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873906688).

7038490368 is an abundant number, since it is smaller than the sum of its proper divisors (16709323008).

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

7038490368 is a wasteful number, since it uses less digits than its factorization.

7038490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 7038490368 is about 83895.7112610651. The cubic root of 7038490368 is about 1916.4309390783.

The spelling of 7038490368 in words is "seven billion, thirty-eight million, four hundred ninety thousand, three hundred sixty-eight".