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14158848 = 210311419
BaseRepresentation
bin110110000000…
…110000000000
3222122100021210
4312000300000
512111040343
61223250120
7231230304
oct66006000
928570253
1014158848
117aa0830
1248a9940
132c19822
141c47d04
15139a333
hexd80c00

14158848 has 88 divisors (see below), whose sum is σ = 41267520. Its totient is φ = 4280320.

The previous prime is 14158843. The next prime is 14158867. The reversal of 14158848 is 84885141.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14158843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33583 + ... + 34001.

Almost surely, 214158848 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 14158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760).

14158848 is an abundant number, since it is smaller than the sum of its proper divisors (27108672).

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

14158848 is a wasteful number, since it uses less digits than its factorization.

14158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its digits is 40960, while the sum is 39.

The square root of 14158848 is about 3762.8244710589. The cubic root of 14158848 is about 241.9223392176.

The spelling of 14158848 in words is "fourteen million, one hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 419 512 528 704 768 838 1024 1056 1257 1408 1536 1676 2112 2514 2816 3072 3352 4224 4609 5028 5632 6704 8448 9218 10056 11264 13408 13827 16896 18436 20112 26816 27654 33792 36872 40224 53632 55308 73744 80448 107264 110616 147488 160896 214528 221232 294976 321792 429056 442464 589952 643584 884928 1179904 1287168 1769856 2359808 3539712 4719616 7079424 14158848