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245436072 = 233717194523
BaseRepresentation
bin11101010000100…
…00111010101000
3122002211102222220
432220100322220
51000312423242
640204314040
76040113030
oct1650207250
9562742886
10245436072
111165a6832
126a242920
133bb0525b
142484c8c0
1516831bec
hexea10ea8

245436072 has 128 divisors (see below), whose sum is σ = 781747200. Its totient is φ = 62512128.

The previous prime is 245436067. The next prime is 245436097. The reversal of 245436072 is 270634542.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52003 + ... + 56525.

It is an arithmetic number, because the mean of its divisors is an integer number (6107400).

Almost surely, 2245436072 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 245436072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390873600).

245436072 is an abundant number, since it is smaller than the sum of its proper divisors (536311128).

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

245436072 is a wasteful number, since it uses less digits than its factorization.

245436072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 245436072 is about 15666.3994587142. The cubic root of 245436072 is about 626.1034986253.

The spelling of 245436072 in words is "two hundred forty-five million, four hundred thirty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 4523 6783 7752 9044 9046 13566 13569 18088 18092 27132 27138 31661 36184 54264 54276 63322 76891 85937 94983 108552 126644 153782 171874 189966 230673 253288 257811 307564 343748 379932 461346 515622 538237 601559 615128 687496 759864 922692 1031244 1076474 1203118 1460929 1614711 1804677 1845384 2062488 2152948 2406236 2921858 3229422 3609354 4305896 4382787 4812472 5843716 6458844 7218708 8765574 10226503 11687432 12917688 14437416 17531148 20453006 30679509 35062296 40906012 61359018 81812024 122718036 245436072