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6025400416 = 2576127229
BaseRepresentation
bin1011001110010010…
…00101000001100000
3120112220212001111101
411213021011001200
544320000303131
62433521124144
7302213026030
oct54711050140
916486761441
106025400416
1126121aa572
121201a89654
137504202b9
144123418c0
15253ea3c61
hex167245060

6025400416 has 72 divisors (see below), whose sum is σ = 13784949360. Its totient is φ = 2539630080.

The previous prime is 6025400411. The next prime is 6025400417. The reversal of 6025400416 is 6140045206.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6025400411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829890 + ... + 837118.

It is an arithmetic number, because the mean of its divisors is an integer number (191457630).

Almost surely, 26025400416 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 6025400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892474680).

6025400416 is an abundant number, since it is smaller than the sum of its proper divisors (7759548944).

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

6025400416 is an equidigital number, since it uses as much as digits as its factorization.

6025400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6025400416 is about 77623.4527446441. The cubic root of 6025400416 is about 1819.6811839409.

The spelling of 6025400416 in words is "six billion, twenty-five million, four hundred thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 3721 6832 7229 7442 13664 14458 14884 26047 28916 29768 50603 52094 57832 59536 101206 104188 115664 119072 202412 208376 231328 404824 416752 440969 809648 833504 881938 1619296 1763876 3086783 3527752 6173566 7055504 12347132 14111008 24694264 26899109 49388528 53798218 98777056 107596436 188293763 215192872 376587526 430385744 753175052 860771488 1506350104 3012700208 6025400416