Search a number
-
+
2974952448 = 21034133189
BaseRepresentation
bin1011000101010010…
…0010110000000000
321200022220020120000
42301110202300000
522043041434243
61211111320000
7133502451516
oct26124426000
97608806500
102974952448
111297312896
126b0380000
133854547c0
142031664b6
151262975d3
hexb1522c00

2974952448 has 440 divisors, whose sum is σ = 9986739840. Its totient is φ = 875888640.

The previous prime is 2974952389. The next prime is 2974952459. The reversal of 2974952448 is 8442594792.

It is a happy number.

2974952448 is a `hidden beast` number, since 2 + 9 + 74 + 9 + 524 + 48 = 666.

It is a super-2 number, since 2×29749524482 = 17700684135722385408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2974952394 and 2974952403.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33426388 + ... + 33426476.

It is an arithmetic number, because the mean of its divisors is an integer number (22697136).

Almost surely, 22974952448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993369920).

2974952448 is an abundant number, since it is smaller than the sum of its proper divisors (7011787392).

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

2974952448 is a wasteful number, since it uses less digits than its factorization.

2974952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2974952448 is about 54543.1246629674. The cubic root of 2974952448 is about 1438.2244783462.

The spelling of 2974952448 in words is "two billion, nine hundred seventy-four million, nine hundred fifty-two thousand, four hundred forty-eight".