Search a number
-
+
484348368 = 24377179257
BaseRepresentation
bin11100110111101…
…001000111010000
31020202101110001110
4130313221013100
51442443121433
6120021133320
715000615240
oct3467510720
91222343043
10484348368
11229447109
1211625a240
1379464c8a
144847db20
152c7c5963
hex1cde91d0

484348368 has 160 divisors (see below), whose sum is σ = 1474191360. Its totient is φ = 134184960.

The previous prime is 484348363. The next prime is 484348379. The reversal of 484348368 is 863843484.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484348363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884496 + ... + 1884752.

It is an arithmetic number, because the mean of its divisors is an integer number (9213696).

Almost surely, 2484348368 is an apocalyptic number.

484348368 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 484348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737095680).

484348368 is an abundant number, since it is smaller than the sum of its proper divisors (989842992).

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

484348368 is a wasteful number, since it uses less digits than its factorization.

484348368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 484348368 is about 22007.9160303742. The cubic root of 484348368 is about 785.3307695008.

The spelling of 484348368 in words is "four hundred eighty-four million, three hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 79 84 112 142 158 168 213 237 257 284 316 336 426 474 497 514 553 568 632 771 852 948 994 1028 1106 1136 1264 1491 1542 1659 1704 1799 1896 1988 2056 2212 2982 3084 3318 3408 3598 3792 3976 4112 4424 5397 5609 5964 6168 6636 7196 7952 8848 10794 11218 11928 12336 13272 14392 16827 18247 20303 21588 22436 23856 26544 28784 33654 36494 39263 40606 43176 44872 54741 60909 67308 72988 78526 81212 86352 89744 109482 117789 121818 127729 134616 142121 145976 157052 162424 218964 235578 243636 255458 269232 284242 291952 314104 324848 383187 426363 437928 471156 487272 510916 568484 628208 766374 852726 875856 942312 974544 1021832 1136968 1441513 1532748 1705452 1884624 2043664 2273936 2883026 3065496 3410904 4324539 5766052 6130992 6821808 8649078 10090591 11532104 17298156 20181182 23064208 30271773 34596312 40362364 60543546 69192624 80724728 121087092 161449456 242174184 484348368