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20010048 = 263891171
BaseRepresentation
bin100110001010…
…1010001000000
31101122121121220
41030111101000
520110310143
61552515040
7332040222
oct114252100
941577556
1020010048
1110327933
12684ba80
1341b7b86
14292c412
151b53d83
hex1315440

20010048 has 56 divisors (see below), whose sum is σ = 53583840. Its totient is φ = 6589440.

The previous prime is 20010041. The next prime is 20010061. The reversal of 20010048 is 84001002.

It is not an unprimeable number, because it can be changed into a prime (20010041) 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, 16503 + ... + 17673.

Almost surely, 220010048 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 20010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26791920).

20010048 is an abundant number, since it is smaller than the sum of its proper divisors (33573792).

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

20010048 is a wasteful number, since it uses less digits than its factorization.

20010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20010048 is about 4473.2592144878. The cubic root of 20010048 is about 271.4872114960.

The spelling of 20010048 in words is "twenty million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1171 1424 2136 2342 2848 3513 4272 4684 5696 7026 8544 9368 14052 17088 18736 28104 37472 56208 74944 104219 112416 208438 224832 312657 416876 625314 833752 1250628 1667504 2501256 3335008 5002512 6670016 10005024 20010048