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148041432 = 23357112343
BaseRepresentation
bin10001101001011…
…10111011011000
3101022120021200000
420310232323120
5300344311212
622405013000
73445221450
oct1064567330
9338507600
10148041432
11766247a0
12416b4160
13248945a6
1415938d60
15cee41dc
hex8d2eed8

148041432 has 384 divisors, whose sum is σ = 553512960. Its totient is φ = 35925120.

The previous prime is 148041431. The next prime is 148041437. The reversal of 148041432 is 234140841.

It is a super-2 number, since 2×1480414322 = 43832531177221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 148041396 and 148041405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148041431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3442803 + ... + 3442845.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2148041432 is an apocalyptic number.

148041432 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 148041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

148041432 is an abundant number, since it is smaller than the sum of its proper divisors (405471528).

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

148041432 is a wasteful number, since it uses less digits than its factorization.

148041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 148041432 is about 12167.2277861475. The cubic root of 148041432 is about 529.0066024764.

148041432 divided by its sum of digits (27) gives a triangular number (5483016 = T3311).

The spelling of 148041432 in words is "one hundred forty-eight million, forty-one thousand, four hundred thirty-two".