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5420448 = 2532112959
BaseRepresentation
bin10100101011010110100000
3101012101110100
4110223112200
52341423243
6312102400
764034025
oct24532640
911171410
105420448
113072510
121994a00
13117a287
14a1154c
157210d3
hex52b5a0

5420448 has 144 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1559040.

The previous prime is 5420431. The next prime is 5420449. The reversal of 5420448 is 8440245.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5420449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91843 + ... + 91901.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 25420448 is an apocalyptic number.

5420448 is a gapful number since it is divisible by the number (58) 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 5420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5420448 is an abundant number, since it is smaller than the sum of its proper divisors (12269952).

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

5420448 is a wasteful number, since it uses less digits than its factorization.

5420448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5420448 is about 2328.1855596150. The cubic root of 5420448 is about 175.6622309758.

It can be divided in two parts, 54 and 20448, that added together give a palindrome (20502).

The spelling of 5420448 in words is "five million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 59 66 72 87 88 96 99 116 118 132 144 174 176 177 198 232 236 261 264 288 319 348 352 354 396 464 472 522 528 531 638 649 696 708 792 928 944 957 1044 1056 1062 1276 1298 1392 1416 1584 1711 1888 1914 1947 2088 2124 2552 2596 2784 2832 2871 3168 3422 3828 3894 4176 4248 5104 5133 5192 5664 5742 5841 6844 7656 7788 8352 8496 10208 10266 10384 11484 11682 13688 15312 15399 15576 16992 18821 20532 20768 22968 23364 27376 30624 30798 31152 37642 41064 45936 46728 54752 56463 61596 62304 75284 82128 91872 93456 112926 123192 150568 164256 169389 186912 225852 246384 301136 338778 451704 492768 602272 677556 903408 1355112 1806816 2710224 5420448