Search a number
-
+
49432000 = 265337167
BaseRepresentation
bin1011110010010…
…0010111000000
310110000101221211
42330210113000
5100123311000
64523255504
71140110422
oct274442700
9113011854
1049432000
11259a2aa2
121467a594
13a319a07
1467ca812
1545167ba
hex2f245c0

49432000 has 112 divisors (see below), whose sum is σ = 126479808. Its totient is φ = 19123200.

The previous prime is 49431989. The next prime is 49432001. The reversal of 49432000 is 23494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295917 + ... + 296083.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 249432000 is an apocalyptic number.

49432000 is a gapful number since it is divisible by the number (40) 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 49432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239904).

49432000 is an abundant number, since it is smaller than the sum of its proper divisors (77047808).

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

49432000 is a wasteful number, since it uses less digits than its factorization.

49432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 49432000 is about 7030.7894293600. The cubic root of 49432000 is about 367.0028138682.

Adding to 49432000 its reverse (23494), we get a palindrome (49455494).

The spelling of 49432000 in words is "forty-nine million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 167 185 200 250 296 320 334 370 400 500 592 668 740 800 835 925 1000 1184 1336 1480 1600 1670 1850 2000 2368 2672 2960 3340 3700 4000 4175 4625 5344 5920 6179 6680 7400 8000 8350 9250 10688 11840 12358 13360 14800 16700 18500 20875 24716 26720 29600 30895 33400 37000 41750 49432 53440 59200 61790 66800 74000 83500 98864 123580 133600 148000 154475 167000 197728 247160 267200 296000 308950 334000 395456 494320 617900 668000 772375 988640 1235800 1336000 1544750 1977280 2471600 3089500 4943200 6179000 9886400 12358000 24716000 49432000