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245009408 = 2107219257
BaseRepresentation
bin11101001101010…
…00110000000000
3122002000202201112
432212220300000
51000210300113
640151222452
76033355100
oct1646506000
9562022645
10245009408
11116335216
126a077a28
133b9b5ca7
142477b200
151679a5a8
hexe9a8c00

245009408 has 132 divisors (see below), whose sum is σ = 602063640. Its totient is φ = 99090432.

The previous prime is 245009393. The next prime is 245009411. The reversal of 245009408 is 804900542.

It is a super-2 number, since 2×2450094082 = 120059220017020928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 953216 + ... + 953472.

Almost surely, 2245009408 is an apocalyptic number.

245009408 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 245009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301031820).

245009408 is an abundant number, since it is smaller than the sum of its proper divisors (357054232).

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

245009408 is a wasteful number, since it uses less digits than its factorization.

245009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 245009408 is about 15652.7763671497. The cubic root of 245009408 is about 625.7404838408.

The spelling of 245009408 in words is "two hundred forty-five million, nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 257 266 304 392 448 512 514 532 608 784 896 931 1024 1028 1064 1216 1568 1792 1799 1862 2056 2128 2432 3136 3584 3598 3724 4112 4256 4864 4883 6272 7168 7196 7448 8224 8512 9728 9766 12544 12593 14392 14896 16448 17024 19456 19532 25088 25186 28784 29792 32896 34048 34181 39064 50176 50372 57568 59584 65792 68096 68362 78128 100744 115136 119168 131584 136192 136724 156256 201488 230272 238336 239267 263168 273448 312512 402976 460544 476672 478534 546896 625024 805952 921088 953344 957068 1093792 1250048 1611904 1842176 1914136 2187584 2500096 3223808 3828272 4375168 5000192 6447616 7656544 8750336 12895232 15313088 17500672 30626176 35001344 61252352 122504704 245009408