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148256568 = 23341092099
BaseRepresentation
bin10001101011000…
…11011100111000
3101022222012210000
420311203130320
5300423202233
622413353000
73450105615
oct1065433470
9338865700
10148256568
1176761399
1241798760
132493b4a5
141599350c
15d037d13
hex8d63738

148256568 has 80 divisors (see below), whose sum is σ = 419265000. Its totient is φ = 48942144.

The previous prime is 148256567. The next prime is 148256569. The reversal of 148256568 is 865652841.

148256568 is a `hidden beast` number, since 1 + 4 + 82 + 5 + 6 + 568 = 666.

148256568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148256567) and next prime (148256569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148256567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69583 + ... + 71681.

Almost surely, 2148256568 is an apocalyptic number.

148256568 is a gapful number since it is divisible by the number (18) 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 148256568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209632500).

148256568 is an abundant number, since it is smaller than the sum of its proper divisors (271008432).

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

148256568 is a wasteful number, since it uses less digits than its factorization.

148256568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2213 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 148256568 is about 12176.0653743317. The cubic root of 148256568 is about 529.2627318541.

The spelling of 148256568 in words is "one hundred forty-eight million, two hundred fifty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2099 2616 2943 3924 4198 5886 6297 7848 8396 8829 11772 12594 16792 17658 18891 23544 25188 35316 37782 50376 56673 70632 75564 113346 151128 170019 226692 228791 340038 453384 457582 680076 686373 915164 1360152 1372746 1830328 2059119 2745492 4118238 5490984 6177357 8236476 12354714 16472952 18532071 24709428 37064142 49418856 74128284 148256568