Search a number
-
+
2400246192 = 243533472719
BaseRepresentation
bin1000111100010000…
…1101100110110000
320012021111010210010
42033010031212300
514403430334232
61034101334520
7113323520211
oct21704154660
96167433703
102400246192
111021970543
1256ba07440
132c3373a26
1418aac5408
15e0ac40cc
hex8f10d9b0

2400246192 has 80 divisors (see below), whose sum is σ = 6338165760. Its totient is φ = 782436096.

The previous prime is 2400246181. The next prime is 2400246217. The reversal of 2400246192 is 2916420042.

It is a super-2 number, since 2×24002461922 = 11522363564421001728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881409 + ... + 884127.

It is an arithmetic number, because the mean of its divisors is an integer number (79227072).

Almost surely, 22400246192 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 2400246192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169082880).

2400246192 is an abundant number, since it is smaller than the sum of its proper divisors (3937919568).

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

2400246192 is a wasteful number, since it uses less digits than its factorization.

2400246192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2400246192 is about 48992.3074778072. The cubic root of 2400246192 is about 1338.9116788871.

The spelling of 2400246192 in words is "two billion, four hundred million, two hundred forty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 347 424 636 694 848 1041 1272 1388 2082 2544 2719 2776 4164 5438 5552 8157 8328 10876 16314 16656 18391 21752 32628 36782 43504 55173 65256 73564 110346 130512 144107 147128 220692 288214 294256 432321 441384 576428 864642 882768 943493 1152856 1729284 1886986 2305712 2830479 3458568 3773972 5660958 6917136 7547944 11321916 15095888 22643832 45287664 50005129 100010258 150015387 200020516 300030774 400041032 600061548 800082064 1200123096 2400246192