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148026564 = 223274114327
BaseRepresentation
bin10001101001010…
…11010011000100
3101022112112021100
420310223103010
5300343322224
622404420100
73445130220
oct1064532304
9338475240
10148026564
1176614604
12416a7630
132488a8aa
1415933780
15cedeac9
hex8d2b4c4

148026564 has 72 divisors (see below), whose sum is σ = 438092928. Its totient is φ = 41258880.

The previous prime is 148026563. The next prime is 148026569. The reversal of 148026564 is 465620841.

148026564 is a `hidden beast` number, since 14 + 80 + 2 + 6 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148026563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169 + ... + 17495.

It is an arithmetic number, because the mean of its divisors is an integer number (6084624).

Almost surely, 2148026564 is an apocalyptic number.

148026564 is a gapful number since it is divisible by the number (14) 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 148026564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219046464).

148026564 is an abundant number, since it is smaller than the sum of its proper divisors (290066364).

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

148026564 is a wasteful number, since it uses less digits than its factorization.

148026564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14385 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 148026564 is about 12166.6167852859. The cubic root of 148026564 is about 528.9888922688.

The spelling of 148026564 in words is "one hundred forty-eight million, twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 14327 28654 42981 57308 85962 100289 128943 171924 200578 257886 300867 401156 515772 587407 601734 902601 1174814 1203468 1762221 1805202 2349628 3524442 3610404 4111849 5286663 7048884 8223698 10573326 12335547 16447396 21146652 24671094 37006641 49342188 74013282 148026564