Search a number
-
+
49531392 = 29333583
BaseRepresentation
bin1011110011110…
…0101000000000
310110012110022000
42330330220000
5100140001032
64525344000
71141003251
oct274745000
9113173260
1049531392
1125a60739
1214708000
13a353021
146814b28
154535e7c
hex2f3ca00

49531392 has 80 divisors (see below), whose sum is σ = 146657280. Its totient is φ = 16505856.

The previous prime is 49531381. The next prime is 49531393. The reversal of 49531392 is 29313594.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (49531393) 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 7 ways as a sum of consecutive naturals, for example, 12033 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 249531392 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 49531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).

49531392 is an abundant number, since it is smaller than the sum of its proper divisors (97125888).

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

49531392 is an equidigital number, since it uses as much as digits as its factorization.

49531392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3588 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 49531392 is about 7037.8542184390. The cubic root of 49531392 is about 367.2486244294.

It can be divided in two parts, 49 and 531392, that added together give a 12-th power (531441 = 312).

The spelling of 49531392 in words is "forty-nine million, five hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 3583 4608 6912 7166 10749 13824 14332 21498 28664 32247 42996 57328 64494 85992 96741 114656 128988 171984 193482 229312 257976 343968 386964 458624 515952 687936 773928 917248 1031904 1375872 1547856 1834496 2063808 2751744 3095712 4127616 5503488 6191424 8255232 12382848 16510464 24765696 49531392