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5432448 = 27374347
BaseRepresentation
bin10100101110010010000000
3101012222220210
4110232102000
52342314243
6312234120
764114020
oct24562200
911188823
105432448
11308052a
12199b940
131182888
14a15a80
15724933
hex52e480

5432448 has 128 divisors (see below), whose sum is σ = 17233920. Its totient is φ = 1483776.

The previous prime is 5432443. The next prime is 5432489. The reversal of 5432448 is 8442345.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54324482 = 59022982545408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 53 + 46 + 311 + 213 + 410 + 411 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115561 + ... + 115607.

It is an arithmetic number, because the mean of its divisors is an integer number (134640).

Almost surely, 25432448 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 5432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616960).

5432448 is an abundant number, since it is smaller than the sum of its proper divisors (11801472).

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

5432448 is a wasteful number, since it uses less digits than its factorization.

5432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 5432448 is about 2330.7612490343. The cubic root of 5432448 is about 175.7917647419.

The spelling of 5432448 in words is "five million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 47 48 56 64 84 86 94 96 112 128 129 141 168 172 188 192 224 258 282 301 329 336 344 376 384 448 516 564 602 658 672 688 752 896 903 987 1032 1128 1204 1316 1344 1376 1504 1806 1974 2021 2064 2256 2408 2632 2688 2752 3008 3612 3948 4042 4128 4512 4816 5264 5504 6016 6063 7224 7896 8084 8256 9024 9632 10528 12126 14147 14448 15792 16168 16512 18048 19264 21056 24252 28294 28896 31584 32336 38528 42112 42441 48504 56588 57792 63168 64672 84882 97008 113176 115584 126336 129344 169764 194016 226352 258688 339528 388032 452704 679056 776064 905408 1358112 1810816 2716224 5432448