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245901084 = 2231113273151
BaseRepresentation
bin11101010100000…
…10011100011100
3122010201001212120
432222002130130
51000422313314
640222302540
76044060532
oct1652023434
9563631776
10245901084
11116894140
126a427a50
133bc38b00
1424930152
15168c48a9
hexea8271c

245901084 has 144 divisors (see below), whose sum is σ = 691617024. Its totient is φ = 67392000.

The previous prime is 245901053. The next prime is 245901091. The reversal of 245901084 is 480109542.

245901084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2459010842 = 120934686224750112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 1628409 + ... + 1628559.

It is an arithmetic number, because the mean of its divisors is an integer number (4802896).

Almost surely, 2245901084 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 245901084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345808512).

245901084 is an abundant number, since it is smaller than the sum of its proper divisors (445715940).

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

245901084 is a wasteful number, since it uses less digits than its factorization.

245901084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 245901084 is about 15681.2334974006. The cubic root of 245901084 is about 626.4986618944.

The spelling of 245901084 in words is "two hundred forty-five million, nine hundred one thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 73 78 132 143 146 151 156 169 219 286 292 302 338 429 438 453 507 572 604 676 803 858 876 906 949 1014 1606 1661 1716 1812 1859 1898 1963 2028 2409 2847 3212 3322 3718 3796 3926 4818 4983 5577 5694 5889 6644 7436 7852 9636 9966 10439 11023 11154 11388 11778 12337 19932 20878 21593 22046 22308 23556 24674 25519 31317 33069 37011 41756 43186 44092 49348 51038 62634 64779 66138 74022 76557 86372 102076 121253 125268 129558 132276 135707 143299 148044 153114 242506 259116 271414 280709 286598 306228 363759 407121 429897 485012 542828 561418 573196 727518 814242 842127 859794 1122836 1455036 1576289 1628484 1684254 1719588 1862887 3152578 3368508 3725774 4728867 5588661 6305156 7451548 9457734 11177322 18915468 20491757 22354644 40983514 61475271 81967028 122950542 245901084