Search a number
-
+
2920292352 = 21337163
BaseRepresentation
bin1010111000010000…
…0010000000000000
321112112001020000000
42232010002000000
521440043323402
61201440000000
7132240034605
oct25604020000
97475036000
102920292352
11126947995a
12696000000
13377027253
141d9bb86ac
1512159bc1c
hexae102000

2920292352 has 224 divisors, whose sum is σ = 8812743360. Its totient is φ = 967458816.

The previous prime is 2920292341. The next prime is 2920292383. The reversal of 2920292352 is 2532920292.

It is a super-2 number, since 2×29202923522 = 17056214842299383808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17915823 + ... + 17915985.

Almost surely, 22920292352 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 2920292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406371680).

2920292352 is an abundant number, since it is smaller than the sum of its proper divisors (5892451008).

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

2920292352 is an frugal number, since it uses more digits than its factorization.

2920292352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2920292352 is about 54039.7293849627. The cubic root of 2920292352 is about 1429.3615994014.

The spelling of 2920292352 in words is "two billion, nine hundred twenty million, two hundred ninety-two thousand, three hundred fifty-two".