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2753025084 = 2234173971259
BaseRepresentation
bin1010010000010111…
…1101010000111100
321002212022011110000
42210011331100330
521114233300314
61133102514300
7125136220125
oct24405752074
97085264400
102753025084
111193013547
12649b95990
1334b490a34
141c18b704c
15111a5b209
hexa417d43c

2753025084 has 120 divisors (see below), whose sum is σ = 7645564080. Its totient is φ = 860834304.

The previous prime is 2753025061. The next prime is 2753025127. The reversal of 2753025084 is 4805203572.

2753025084 is a `hidden beast` number, since 27 + 530 + 25 + 0 + 84 = 666.

It is a super-2 number, since 2×27530250842 = 15158294226266414112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2186047 + ... + 2187305.

It is an arithmetic number, because the mean of its divisors is an integer number (63713034).

Almost surely, 22753025084 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 2753025084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822782040).

2753025084 is an abundant number, since it is smaller than the sum of its proper divisors (4892538996).

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

2753025084 is a wasteful number, since it uses less digits than its factorization.

2753025084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2753025084 is about 52469.2775250432. The cubic root of 2753025084 is about 1401.5331985485.

The spelling of 2753025084 in words is "two billion, seven hundred fifty-three million, twenty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 397 459 612 794 918 1191 1259 1377 1588 1836 2382 2518 2754 3573 3777 4764 5036 5508 6749 7146 7554 10719 11331 13498 14292 15108 20247 21403 21438 22662 26996 32157 33993 40494 42806 42876 45324 60741 64209 64314 67986 80988 85612 101979 121482 128418 128628 135972 182223 192627 203958 242964 256836 364446 385254 407916 499823 546669 577881 728892 770508 999646 1093338 1155762 1499469 1733643 1999292 2186676 2311524 2998938 3467286 4498407 5997876 6934572 8496991 8996814 13495221 16993982 17993628 25490973 26990442 33987964 40485663 50981946 53980884 76472919 80971326 101963892 152945838 161942652 229418757 305891676 458837514 688256271 917675028 1376512542 2753025084