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245796096 = 2837133517
BaseRepresentation
bin11101010011010…
…00110100000000
3122010111201212010
432221220310000
51000410433341
640220132520
76043142460
oct1651506400
9563451763
10245796096
11116822277
126a397140
133bc000a0
1424903ba0
15168a3716
hexea68d00

245796096 has 144 divisors (see below), whose sum is σ = 805368704. Its totient is φ = 64806912.

The previous prime is 245796071. The next prime is 245796113. The reversal of 245796096 is 690697542.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68130 + ... + 71646.

Almost surely, 2245796096 is an apocalyptic number.

245796096 is a gapful number since it is divisible by the number (26) 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 245796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402684352).

245796096 is an abundant number, since it is smaller than the sum of its proper divisors (559572608).

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

245796096 is a wasteful number, since it uses less digits than its factorization.

245796096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 245796096 is about 15677.8855717217. The cubic root of 245796096 is about 626.4094875490.

The spelling of 245796096 in words is "two hundred forty-five million, seven hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 3517 4368 4992 5376 5824 7034 8736 9984 10551 11648 14068 17472 21102 23296 24619 28136 34944 42204 45721 49238 56272 69888 73857 84408 91442 98476 112544 137163 147714 168816 182884 196952 225088 274326 295428 320047 337632 365768 393904 450176 548652 590856 640094 675264 731536 787808 900352 960141 1097304 1181712 1280188 1350528 1463072 1575616 1920282 2194608 2363424 2560376 2701056 2926144 3151232 3840564 4389216 4726848 5120752 5852288 6302464 7681128 8778432 9453696 10241504 11704576 15362256 17556864 18907392 20483008 30724512 35113728 40966016 61449024 81932032 122898048 245796096