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59490048 = 283711091
BaseRepresentation
bin1110001011101…
…1111100000000
311010221102000010
43202323330000
5110212140143
65523024520
71321441242
oct342737400
9133842003
1059490048
1130642832
1217b0b140
13c42bb17
147c88092
155351a33
hex38bbf00

59490048 has 72 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 19532800.

The previous prime is 59490047. The next prime is 59490061. The reversal of 59490048 is 84009495.

59490048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×594900482 = 7078131622084608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59489988 and 59490015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59490047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53983 + ... + 55073.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 259490048 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 59490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

59490048 is an abundant number, since it is smaller than the sum of its proper divisors (101217408).

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

59490048 is a wasteful number, since it uses less digits than its factorization.

59490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 59490048 is about 7712.9791909482. The cubic root of 59490048 is about 390.3744989166.

The spelling of 59490048 in words is "fifty-nine million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1091 1136 1704 2182 2272 3273 3408 4364 4544 6546 6816 8728 9088 13092 13632 17456 18176 26184 27264 34912 52368 54528 69824 77461 104736 139648 154922 209472 232383 279296 309844 418944 464766 619688 837888 929532 1239376 1859064 2478752 3718128 4957504 7436256 9915008 14872512 19830016 29745024 59490048