Search a number
-
+
4921629504 = 263112415167
BaseRepresentation
bin1001001010101101…
…00001101101000000
3110200222220200110020
410211112201231000
540034414121004
62132211333440
7232651106031
oct44526415500
913628820406
104921629504
1120a614a100
12b542b1280
1360584c10c
14349900a88
151dc1258d9
hex1255a1b40

4921629504 has 168 divisors, whose sum is σ = 14665171584. Its totient is φ = 1454745600.

The previous prime is 4921629499. The next prime is 4921629509. The reversal of 4921629504 is 4059261294.

It is an interprime number because it is at equal distance from previous prime (4921629499) and next prime (4921629509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921629509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949929 + ... + 955095.

It is an arithmetic number, because the mean of its divisors is an integer number (87292688).

Almost surely, 24921629504 is an apocalyptic number.

4921629504 is a gapful number since it is divisible by the number (44) 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 4921629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332585792).

4921629504 is an abundant number, since it is smaller than the sum of its proper divisors (9743542080).

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

4921629504 is a wasteful number, since it uses less digits than its factorization.

4921629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4921629504 is about 70154.3263384376. The cubic root of 4921629504 is about 1700.9947469960.

The spelling of 4921629504 in words is "four billion, nine hundred twenty-one million, six hundred twenty-nine thousand, five hundred four".