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5446601984 = 28177117627
BaseRepresentation
bin1010001001010010…
…01000110100000000
3112001120202001022102
411010221020310000
542123312230414
62300243325532
7251654232035
oct50451106400
915046661272
105446601984
11234551275a
1210800808a8
1368a538a15
1439951738c
1521d272ede
hex144a48d00

5446601984 has 72 divisors (see below), whose sum is σ = 11674248768. Its totient is φ = 2526863360.

The previous prime is 5446601957. The next prime is 5446601987. The reversal of 5446601984 is 4891066445.

It is a happy number.

It is a super-2 number, since 2×54466019842 = 59330946344225472512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5446601987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300179 + ... + 317805.

It is an arithmetic number, because the mean of its divisors is an integer number (162142344).

Almost surely, 25446601984 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 5446601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837124384).

5446601984 is an abundant number, since it is smaller than the sum of its proper divisors (6227646784).

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

5446601984 is a wasteful number, since it uses less digits than its factorization.

5446601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17731 (or 17717 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 5446601984 is about 73801.0974444147. The cubic root of 5446601984 is about 1759.4430469109.

The spelling of 5446601984 in words is "five billion, four hundred forty-six million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 544 568 1088 1136 1207 2176 2272 2414 4352 4544 4828 9088 9656 17627 18176 19312 35254 38624 70508 77248 141016 154496 282032 299659 308992 564064 599318 1128128 1198636 1251517 2256256 2397272 2503034 4512512 4794544 5006068 9589088 10012136 19178176 20024272 21275789 38356352 40048544 42551578 76712704 80097088 85103156 160194176 170206312 320388352 340412624 680825248 1361650496 2723300992 5446601984