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245489664 = 213371427
BaseRepresentation
bin11101010000111…
…10000000000000
3122002221011111210
432220132000000
51000321132124
640205410120
76040425210
oct1650360000
9562834453
10245489664
11116633022
126a269940
133bb23774
1424864240
1516842a29
hexea1e000

245489664 has 112 divisors (see below), whose sum is σ = 748637568. Its totient is φ = 70090752.

The previous prime is 245489663. The next prime is 245489687. The reversal of 245489664 is 466984542.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245489663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171319 + ... + 172745.

It is an arithmetic number, because the mean of its divisors is an integer number (6684264).

Almost surely, 2245489664 is an apocalyptic number.

245489664 is a gapful number since it is divisible by the number (24) 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 245489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374318784).

245489664 is an abundant number, since it is smaller than the sum of its proper divisors (503147904).

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

245489664 is an equidigital number, since it uses as much as digits as its factorization.

245489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1439 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 245489664 is about 15668.1097775067. The cubic root of 245489664 is about 626.1490660874.

The spelling of 245489664 in words is "two hundred forty-five million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1427 1536 1792 2048 2688 2854 3072 3584 4096 4281 5376 5708 6144 7168 8192 8562 9989 10752 11416 12288 14336 17124 19978 21504 22832 24576 28672 29967 34248 39956 43008 45664 57344 59934 68496 79912 86016 91328 119868 136992 159824 172032 182656 239736 273984 319648 365312 479472 547968 639296 730624 958944 1095936 1278592 1461248 1917888 2191872 2557184 2922496 3835776 4383744 5114368 5844992 7671552 8767488 10228736 11689984 15343104 17534976 20457472 30686208 35069952 40914944 61372416 81829888 122744832 245489664