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48060400 = 2452532267
BaseRepresentation
bin1011011101010…
…1011111110000
310100102201110211
42313111133300
544300413100
64434033504
71122335533
oct267253760
9110381424
1048060400
1125146543
1214118894
139c5960b
146550a1a
1543451ba
hex2dd57f0

48060400 has 60 divisors (see below), whose sum is σ = 117695592. Its totient is φ = 18853120.

The previous prime is 48060359. The next prime is 48060413. The reversal of 48060400 is 406084.

It is a super-3 number, since 3×480604003 (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20067 + ... + 22333.

Almost surely, 248060400 is an apocalyptic number.

48060400 is a gapful number since it is divisible by the number (40) 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 48060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58847796).

48060400 is an abundant number, since it is smaller than the sum of its proper divisors (69635192).

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

48060400 is a wasteful number, since it uses less digits than its factorization.

48060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48060400 is about 6932.5608544029. The cubic root of 48060400 is about 363.5764909001.

Adding to 48060400 its reverse (406084), we get a palindrome (48466484).

The spelling of 48060400 in words is "forty-eight million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2267 2650 4240 4534 5300 9068 10600 11335 18136 21200 22670 36272 45340 56675 90680 113350 120151 181360 226700 240302 453400 480604 600755 906800 961208 1201510 1922416 2403020 3003775 4806040 6007550 9612080 12015100 24030200 48060400