Search a number
-
+
4492039680 = 293652983
BaseRepresentation
bin1000010111011111…
…10001011000000000
3102121001120021000000
410023233301120000
533144430232210
62021424000000
7216213464412
oct41357613000
912531507000
104492039680
1119a5703997
12a54460000
1356784a45b
143088369b2
151b4569ac0
hex10bbf1600

4492039680 has 560 divisors, whose sum is σ = 16906261680. Its totient is φ = 1142636544.

The previous prime is 4492039627. The next prime is 4492039733. The reversal of 4492039680 is 869302944.

It is an interprime number because it is at equal distance from previous prime (4492039627) and next prime (4492039733).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54120919 + ... + 54121001.

It is an arithmetic number, because the mean of its divisors is an integer number (30189753).

Almost surely, 24492039680 is an apocalyptic number.

4492039680 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 4492039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453130840).

4492039680 is an abundant number, since it is smaller than the sum of its proper divisors (12414222000).

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

4492039680 is an frugal number, since it uses more digits than its factorization.

4492039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4492039680 is about 67022.6803403147. The cubic root of 4492039680 is about 1649.9895536529.

The spelling of 4492039680 in words is "four billion, four hundred ninety-two million, thirty-nine thousand, six hundred eighty".