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48749328 = 24322341359
BaseRepresentation
bin1011100111110…
…1101100010000
310101201201111200
42321331230100
544434434303
64500511200
71131235215
oct271755420
9111651450
1048749328
1125577101
12143ab500
13a13b074
14668db0c
15442e3a3
hex2e7db10

48749328 has 120 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 15121920.

The previous prime is 48749321. The next prime is 48749333. The reversal of 48749328 is 82394784.

It is not an unprimeable number, because it can be changed into a prime (48749321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135613 + ... + 135971.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 248749328 is an apocalyptic number.

48749328 is a gapful number since it is divisible by the number (48) 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 48749328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

48749328 is an abundant number, since it is smaller than the sum of its proper divisors (97491312).

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

48749328 is a wasteful number, since it uses less digits than its factorization.

48749328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48749328 is about 6982.0718987991. The cubic root of 48749328 is about 365.3055001558.

The spelling of 48749328 in words is "forty-eight million, seven hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 328 359 368 369 414 492 552 656 718 738 828 943 984 1077 1104 1436 1476 1656 1886 1968 2154 2829 2872 2952 3231 3312 3772 4308 5658 5744 5904 6462 7544 8257 8487 8616 11316 12924 14719 15088 16514 16974 17232 22632 24771 25848 29438 33028 33948 44157 45264 49542 51696 58876 66056 67896 74313 88314 99084 117752 132112 132471 135792 148626 176628 198168 235504 264942 297252 338537 353256 396336 529884 594504 677074 706512 1015611 1059768 1189008 1354148 2031222 2119536 2708296 3046833 4062444 5416592 6093666 8124888 12187332 16249776 24374664 48749328