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53413248 = 273731641
BaseRepresentation
bin1100101111000…
…0010110000000
310201111200012110
43023300112000
5102133210443
65144455320
71216001520
oct313602600
9121450173
1053413248
1128172189
1215a7a540
13b0b1b95
147145680
154a51233
hex32f0580

53413248 has 128 divisors (see below), whose sum is σ = 167639040. Its totient is φ = 14745600.

The previous prime is 53413219. The next prime is 53413259. The reversal of 53413248 is 84231435.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83008 + ... + 83648.

It is an arithmetic number, because the mean of its divisors is an integer number (1309680).

Almost surely, 253413248 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 53413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83819520).

53413248 is an abundant number, since it is smaller than the sum of its proper divisors (114225792).

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

53413248 is a wasteful number, since it uses less digits than its factorization.

53413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 53413248 is about 7308.4367685573. The cubic root of 53413248 is about 376.6023241790.

The spelling of 53413248 in words is "fifty-three million, four hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 641 651 672 744 868 896 992 1282 1302 1344 1488 1736 1923 1984 2564 2604 2688 2976 3472 3846 3968 4487 5128 5208 5952 6944 7692 8974 10256 10416 11904 13461 13888 15384 17948 19871 20512 20832 26922 27776 30768 35896 39742 41024 41664 53844 59613 61536 71792 79484 82048 83328 107688 119226 123072 139097 143584 158968 215376 238452 246144 278194 287168 317936 417291 430752 476904 556388 574336 635872 834582 861504 953808 1112776 1271744 1669164 1723008 1907616 2225552 2543488 3338328 3815232 4451104 6676656 7630464 8902208 13353312 17804416 26706624 53413248