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5425617408 = 2935995897
BaseRepresentation
bin1010000110110010…
…00101101000000000
3112000010020220212220
411003121011220000
542102424224113
62254213451040
7251310662361
oct50331055000
915003226786
105425617408
11233468a732
121075040a80
1368609c403
14396813b68
1521b4ca523
hex143645a00

5425617408 has 80 divisors (see below), whose sum is σ = 14480769600. Its totient is φ = 1805213696.

The previous prime is 5425617401. The next prime is 5425617451. The reversal of 5425617408 is 8047165245.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5425617408.

It is not an unprimeable number, because it can be changed into a prime (5425617401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917116 + ... + 923012.

It is an arithmetic number, because the mean of its divisors is an integer number (181009620).

Almost surely, 25425617408 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 5425617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240384800).

5425617408 is an abundant number, since it is smaller than the sum of its proper divisors (9055152192).

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

5425617408 is an equidigital number, since it uses as much as digits as its factorization.

5425617408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5425617408 is about 73658.7904326429. The cubic root of 5425617408 is about 1757.1805546505.

The spelling of 5425617408 in words is "five billion, four hundred twenty-five million, six hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 599 768 1198 1536 1797 2396 3594 4792 5897 7188 9584 11794 14376 17691 19168 23588 28752 35382 38336 47176 57504 70764 76672 94352 115008 141528 153344 188704 230016 283056 306688 377408 460032 566112 754816 920064 1132224 1509632 2264448 3019264 3532303 4528896 7064606 9057792 10596909 14129212 21193818 28258424 42387636 56516848 84775272 113033696 169550544 226067392 339101088 452134784 678202176 904269568 1356404352 1808539136 2712808704 5425617408