Search a number
-
+
245762048 = 211723179
BaseRepresentation
bin11101010011000…
…00100000000000
3122010110000011002
432221200200000
51000403341143
640215311132
76042641300
oct1651404000
9563400132
10245762048
111167a9734
126a37b4a8
133bbba73c
14248d5600
15168985b8
hexea60800

245762048 has 144 divisors (see below), whose sum is σ = 597542400. Its totient is φ = 100638720.

The previous prime is 245762009. The next prime is 245762051. The reversal of 245762048 is 840267542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3110873 + ... + 3110951.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2245762048 is an apocalyptic number.

245762048 is a gapful number since it is divisible by the number (28) 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 245762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

245762048 is an abundant number, since it is smaller than the sum of its proper divisors (351780352).

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

245762048 is an equidigital number, since it uses as much as digits as its factorization.

245762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 245762048 is about 15676.7996734027. The cubic root of 245762048 is about 626.3805625234.

The spelling of 245762048 in words is "two hundred forty-five million, seven hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 79 98 112 124 128 158 196 217 224 248 256 316 392 434 448 496 512 553 632 784 868 896 992 1024 1106 1264 1519 1568 1736 1792 1984 2048 2212 2449 2528 3038 3136 3472 3584 3871 3968 4424 4898 5056 6076 6272 6944 7168 7742 7936 8848 9796 10112 12152 12544 13888 14336 15484 15872 17143 17696 19592 20224 24304 25088 27776 30968 31744 34286 35392 39184 40448 48608 50176 55552 61936 63488 68572 70784 78368 80896 97216 100352 111104 120001 123872 137144 141568 156736 161792 194432 222208 240002 247744 274288 283136 313472 388864 444416 480004 495488 548576 566272 626944 777728 960008 990976 1097152 1132544 1253888 1555456 1920016 1981952 2194304 2507776 3110912 3840032 3963904 4388608 5015552 7680064 7927808 8777216 15360128 17554432 30720256 35108864 61440512 122881024 245762048