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148350528 = 26359539
BaseRepresentation
bin10001101011110…
…10011001000000
3101100010222200000
420311322121000
5300434204103
622415400000
73450646554
oct1065723100
9340128600
10148350528
1176815a47
1241823000
13249721a1
14159b9864
15d055aa3
hex8d7a640

148350528 has 84 divisors (see below), whose sum is σ = 441015120. Its totient is φ = 49444992.

The previous prime is 148350523. The next prime is 148350547. The reversal of 148350528 is 825053841.

It is a happy number.

148350528 is a `hidden beast` number, since 1 + 4 + 83 + 50 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 148350492 and 148350501.

It is not an unprimeable number, because it can be changed into a prime (148350523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10783 + ... + 20321.

It is an arithmetic number, because the mean of its divisors is an integer number (5250180).

Almost surely, 2148350528 is an apocalyptic number.

148350528 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 148350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220507560).

148350528 is an abundant number, since it is smaller than the sum of its proper divisors (292664592).

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

148350528 is an frugal number, since it uses more digits than its factorization.

148350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 148350528 is about 12179.9231524669. The cubic root of 148350528 is about 529.3745178501.

The spelling of 148350528 in words is "one hundred forty-eight million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 9539 15552 19078 28617 38156 57234 76312 85851 114468 152624 171702 228936 257553 305248 343404 457872 515106 610496 686808 772659 915744 1030212 1373616 1545318 1831488 2060424 2317977 2747232 3090636 4120848 4635954 5494464 6181272 8241696 9271908 12362544 16483392 18543816 24725088 37087632 49450176 74175264 148350528