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148928 = 2613179
BaseRepresentation
bin100100010111000000
321120021212
4210113000
514231203
63105252
71160123
oct442700
9246255
10148928
11a198a
1272228
1352a30
143c3ba
152e1d8
hex245c0

148928 has 28 divisors (see below), whose sum is σ = 320040. Its totient is φ = 68352.

The previous prime is 148927. The next prime is 148931. The reversal of 148928 is 829841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 148894 and 148903.

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 148928.

It is not an unprimeable number, because it can be changed into a prime (148921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 743 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2148928 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 148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160020).

148928 is an abundant number, since it is smaller than the sum of its proper divisors (171112).

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

148928 is a wasteful number, since it uses less digits than its factorization.

148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 148928 is about 385.9119070462. The cubic root of 148928 is about 53.0060512849.

The spelling of 148928 in words is "one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 179 208 358 416 716 832 1432 2327 2864 4654 5728 9308 11456 18616 37232 74464 148928