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500148 = 223311421
BaseRepresentation
bin1111010000110110100
3221102002000
41322012310
5112001043
614415300
74152105
oct1720664
9842060
10500148
11311850
12201530
1314685c
14d03ac
159d2d3
hex7a1b4

500148 has 48 divisors (see below), whose sum is σ = 1417920. Its totient is φ = 151200.

The previous prime is 500119. The next prime is 500153. The reversal of 500148 is 841005.

It is a super-3 number, since 3×5001483 = 375333098577725376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 500148.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 500148.

It is an unprimeable number.

500148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (29540).

2500148 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 500148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708960).

500148 is an abundant number, since it is smaller than the sum of its proper divisors (917772).

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

500148 is a wasteful number, since it uses less digits than its factorization.

500148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 500148 is about 707.2114252471. The cubic root of 500148 is about 79.3778830044.

The spelling of 500148 in words is "five hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 421 594 842 1188 1263 1684 2526 3789 4631 5052 7578 9262 11367 13893 15156 18524 22734 27786 41679 45468 55572 83358 125037 166716 250074 500148