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245191104 = 2633473019
BaseRepresentation
bin11101001110101…
…01000111000000
3122002100222222000
432213111013000
51000232103404
640155144000
76035042604
oct1647250700
9562328860
10245191104
11116449784
126a145000
133ba4a8c2
14247c7504
15167d4339
hexe9d51c0

245191104 has 112 divisors (see below), whose sum is σ = 736396800. Its totient is φ = 79964928.

The previous prime is 245191081. The next prime is 245191169. The reversal of 245191104 is 401191542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 79707 + ... + 82725.

Almost surely, 2245191104 is an apocalyptic number.

245191104 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 245191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368198400).

245191104 is an abundant number, since it is smaller than the sum of its proper divisors (491205696).

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

245191104 is a wasteful number, since it uses less digits than its factorization.

245191104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 245191104 is about 15658.5792458958. The cubic root of 245191104 is about 625.8951261334.

The spelling of 245191104 in words is "two hundred forty-five million, one hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3019 3384 4512 5076 6038 6768 9024 9057 10152 12076 13536 18114 20304 24152 27072 27171 36228 40608 48304 54342 72456 81216 81513 96608 108684 141893 144912 163026 193216 217368 283786 289824 326052 425679 434736 567572 579648 652104 851358 869472 1135144 1277037 1304208 1702716 1738944 2270288 2554074 2608416 3405432 3831111 4540576 5108148 5216832 6810864 7662222 9081152 10216296 13621728 15324444 20432592 27243456 30648888 40865184 61297776 81730368 122595552 245191104