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48383232 = 28373863
BaseRepresentation
bin1011100010010…
…0010100000000
310101001010022120
42320210110000
544341230412
64445004240
71125151662
oct270442400
9111033276
1048383232
1125347047
1214253680
13a040541
1465d6532
1543aab8c
hex2e24500

48383232 has 72 divisors (see below), whose sum is σ = 130685184. Its totient is φ = 15888384.

The previous prime is 48383221. The next prime is 48383243. The reversal of 48383232 is 23238384.

It is an interprime number because it is at equal distance from previous prime (48383221) and next prime (48383243).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48383193 and 48383202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55633 + ... + 56495.

It is an arithmetic number, because the mean of its divisors is an integer number (1815072).

Almost surely, 248383232 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 48383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65342592).

48383232 is an abundant number, since it is smaller than the sum of its proper divisors (82301952).

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

48383232 is an equidigital number, since it uses as much as digits as its factorization.

48383232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 48383232 is about 6955.8056327071. The cubic root of 48383232 is about 364.3887486219.

The spelling of 48383232 in words is "forty-eight million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 863 876 1168 1726 1752 2336 2589 3452 3504 4672 5178 6904 7008 9344 10356 13808 14016 18688 20712 27616 28032 41424 55232 56064 62999 82848 110464 125998 165696 188997 220928 251996 331392 377994 503992 662784 755988 1007984 1511976 2015968 3023952 4031936 6047904 8063872 12095808 16127744 24191616 48383232