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2725948316 = 22713192317137
BaseRepresentation
bin1010001001111010…
…1010101110011100
321000222100112002202
42202132222232130
521040320321231
61130254311032
7124360115120
oct24236525634
97028315082
102725948316
1111797aa353
12640ab8478
133459a0490
141bc069580
1510e4ad5cb
hexa27aab9c

2725948316 has 96 divisors (see below), whose sum is σ = 6449372160. Its totient is φ = 977163264.

The previous prime is 2725948301. The next prime is 2725948319. The reversal of 2725948316 is 6138495272.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725948319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150500 + ... + 167636.

It is an arithmetic number, because the mean of its divisors is an integer number (67180960).

Almost surely, 22725948316 is an apocalyptic number.

2725948316 is a gapful number since it is divisible by the number (26) 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 2725948316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224686080).

2725948316 is an abundant number, since it is smaller than the sum of its proper divisors (3723423844).

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

2725948316 is a wasteful number, since it uses less digits than its factorization.

2725948316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203 (or 17201 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 2725948316 is about 52210.6149743517. The cubic root of 2725948316 is about 1396.9232288673.

The spelling of 2725948316 in words is "two billion, seven hundred twenty-five million, nine hundred forty-eight thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 19 23 26 28 38 46 52 76 91 92 133 161 182 247 266 299 322 364 437 494 532 598 644 874 988 1196 1729 1748 2093 3059 3458 4186 5681 6118 6916 8372 11362 12236 17137 22724 34274 39767 68548 79534 119959 159068 222781 239918 325603 394151 445562 479836 651206 788302 891124 1302412 1559467 1576604 2279221 2759057 3118934 4232839 4558442 5123963 5518114 6237868 7488869 8465678 9116884 10247926 11036228 14977738 16931356 20495852 29629873 29955476 35867741 52422083 59259746 71735482 97355297 104844166 118519492 143470964 194710594 209688332 389421188 681487079 1362974158 2725948316