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14808948 = 22371123147
BaseRepresentation
bin111000011111…
…011101110100
31000212101001120
4320133131310
512242341243
61245223540
7236605530
oct70373564
930771046
1014808948
1183a5200
124b61bb0
1330b66bb
141d76bc0
151477c83
hexe1f774

14808948 has 144 divisors (see below), whose sum is σ = 45760512. Its totient is φ = 3643200.

The previous prime is 14808947. The next prime is 14808971. The reversal of 14808948 is 84980841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14808947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315061 + ... + 315107.

Almost surely, 214808948 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 14808948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22880256).

14808948 is an abundant number, since it is smaller than the sum of its proper divisors (30951564).

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

14808948 is a wasteful number, since it uses less digits than its factorization.

14808948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 14808948 is about 3848.2395975303. The cubic root of 14808948 is about 245.5696753330.

The spelling of 14808948 in words is "fourteen million, eight hundred eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 47 62 66 77 84 93 94 121 124 132 141 154 186 188 217 231 242 282 308 329 341 363 372 434 462 484 517 564 651 658 682 726 847 868 924 987 1023 1034 1302 1316 1364 1452 1457 1551 1694 1974 2046 2068 2387 2541 2604 2914 3102 3388 3619 3751 3948 4092 4371 4774 5082 5687 5828 6204 7161 7238 7502 8742 9548 10164 10199 10857 11253 11374 14322 14476 15004 16027 17061 17484 20398 21714 22506 22748 26257 28644 30597 32054 34122 39809 40796 43428 45012 48081 52514 61194 64108 68244 78771 79618 96162 105028 112189 119427 122388 157542 159236 176297 192324 224378 238854 315084 336567 352594 448756 477708 528891 673134 705188 1057782 1234079 1346268 2115564 2468158 3702237 4936316 7404474 14808948