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245752640 = 265732239
BaseRepresentation
bin11101010010111…
…10001101000000
3122010102112020122
432221132031000
51000403041030
640215155412
76042602000
oct1651361500
9563375218
10245752640
111167a2661
126a375b68
133bbb6383
14248d2000
15168958e5
hexea5e340

245752640 has 112 divisors (see below), whose sum is σ = 682752000. Its totient is φ = 84220416.

The previous prime is 245752627. The next prime is 245752643. The reversal of 245752640 is 46257542.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 245752640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245752643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108641 + ... + 110879.

It is an arithmetic number, because the mean of its divisors is an integer number (6096000).

Almost surely, 2245752640 is an apocalyptic number.

245752640 is a gapful number since it is divisible by the number (20) 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 245752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376000).

245752640 is an abundant number, since it is smaller than the sum of its proper divisors (436999360).

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

245752640 is an equidigital number, since it uses as much as digits as its factorization.

245752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 245752640 is about 15676.4996092878. The cubic root of 245752640 is about 626.3725696110.

The spelling of 245752640 in words is "two hundred forty-five million, seven hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1120 1372 1568 1715 1960 2239 2240 2744 3136 3430 3920 4478 5488 6860 7840 8956 10976 11195 13720 15673 15680 17912 21952 22390 27440 31346 35824 44780 54880 62692 71648 78365 89560 109711 109760 125384 143296 156730 179120 219422 250768 313460 358240 438844 501536 548555 626920 716480 767977 877688 1003072 1097110 1253840 1535954 1755376 2194220 2507680 3071908 3510752 3839885 4388440 5015360 6143816 7021504 7679770 8776880 12287632 15359540 17553760 24575264 30719080 35107520 49150528 61438160 122876320 245752640