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48066208 = 2517149593
BaseRepresentation
bin1011011101011…
…0111010100000
310100110000102221
42313112322200
544301104313
64434120424
71122361501
oct267267240
9110400387
1048066208
112514a943
1214120114
139c5c158
146552ba8
154346c8d
hex2dd6ea0

48066208 has 48 divisors (see below), whose sum is σ = 101039400. Its totient is φ = 22429696.

The previous prime is 48066199. The next prime is 48066211. The reversal of 48066208 is 80266084.

It can be written as a sum of positive squares in 4 ways, for example, as 40602384 + 7463824 = 6372^2 + 2732^2 .

It is a super-3 number, since 3×480662083 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80760 + ... + 81352.

Almost surely, 248066208 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 48066208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50519700).

48066208 is an abundant number, since it is smaller than the sum of its proper divisors (52973192).

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

48066208 is a wasteful number, since it uses less digits than its factorization.

48066208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 48066208 is about 6932.9797345730. The cubic root of 48066208 is about 363.5911361326.

The spelling of 48066208 in words is "forty-eight million, sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 149 272 298 544 593 596 1186 1192 2372 2384 2533 4744 4768 5066 9488 10081 10132 18976 20162 20264 40324 40528 80648 81056 88357 161296 176714 322592 353428 706856 1413712 1502069 2827424 3004138 6008276 12016552 24033104 48066208