Search a number
-
+
245377792 = 2811791103
BaseRepresentation
bin11101010000000…
…10101100000000
3122002201111001101
432220002230000
51000304042132
640203144144
76036451102
oct1650025400
9562644041
10245377792
11116566a70
126a215054
133bab487a
1424835572
151681e7e7
hexea02b00

245377792 has 72 divisors (see below), whose sum is σ = 541578240. Its totient is φ = 110023680.

The previous prime is 245377789. The next prime is 245377801. The reversal of 245377792 is 297773542.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221913 + ... + 223015.

It is an arithmetic number, because the mean of its divisors is an integer number (7521920).

Almost surely, 2245377792 is an apocalyptic number.

245377792 is a gapful number since it is divisible by the number (22) 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 245377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270789120).

245377792 is an abundant number, since it is smaller than the sum of its proper divisors (296200448).

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

245377792 is a wasteful number, since it uses less digits than its factorization.

245377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its digits is 740880, while the sum is 46.

The square root of 245377792 is about 15664.5393165583. The cubic root of 245377792 is about 626.0539375859.

The spelling of 245377792 in words is "two hundred forty-five million, three hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 256 316 352 632 704 869 1103 1264 1408 1738 2206 2528 2816 3476 4412 5056 6952 8824 10112 12133 13904 17648 20224 24266 27808 35296 48532 55616 70592 87137 97064 111232 141184 174274 194128 222464 282368 348548 388256 697096 776512 958507 1394192 1553024 1917014 2788384 3106048 3834028 5576768 7668056 11153536 15336112 22307072 30672224 61344448 122688896 245377792