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148992 = 29397
BaseRepresentation
bin100100011000000000
321120101020
4210120000
514231432
63105440
71160244
oct443000
9246336
10148992
11a1a38
1272280
1352a7c
143c424
152e22c
hex24600

148992 has 40 divisors (see below), whose sum is σ = 401016. Its totient is φ = 49152.

The previous prime is 148991. The next prime is 148997. The reversal of 148992 is 299841.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148991) 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, 1488 + ... + 1584.

148992 is a Friedman number, since it can be written as 291/(4/8)^9, using all its digits and the basic arithmetic operations.

2148992 is an apocalyptic number.

148992 is a gapful number since it is divisible by the number (12) 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 148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200508).

148992 is an abundant number, since it is smaller than the sum of its proper divisors (252024).

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

148992 is an frugal number, since it uses more digits than its factorization.

148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 148992 is about 385.9948186181. The cubic root of 148992 is about 53.0136430998.

The spelling of 148992 in words is "one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 512 582 768 776 1164 1536 1552 2328 3104 4656 6208 9312 12416 18624 24832 37248 49664 74496 148992