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5484672 = 2734232
BaseRepresentation
bin10100111011000010000000
3101022122120000
4110323002000
52401002142
6313320000
764422204
oct24730200
911278500
105484672
113106796
121a06000
1311a058b
14a2ab04
1573514c
hex53b080

5484672 has 120 divisors (see below), whose sum is σ = 17062815. Its totient is φ = 1748736.

The previous prime is 5484653. The next prime is 5484697. The reversal of 5484672 is 2764845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5484672 is a `hidden beast` number, since 548 + 46 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 2742336 = 1656^2 + 1656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1656.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (28).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 238453 + ... + 238475.

Almost surely, 25484672 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 5484672

5484672 is an abundant number, since it is smaller than the sum of its proper divisors (11578143).

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

5484672 is an equidigital number, since it uses as much as digits as its factorization.

5484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5484672 is about 2341.9376592898. The cubic root of 5484672 is about 176.3532848670.

The spelling of 5484672 in words is "five million, four hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 529 552 576 621 648 736 828 864 1058 1104 1152 1242 1296 1472 1587 1656 1728 1863 2116 2208 2484 2592 2944 3174 3312 3456 3726 4232 4416 4761 4968 5184 6348 6624 7452 8464 8832 9522 9936 10368 12696 13248 14283 14904 16928 19044 19872 25392 26496 28566 29808 33856 38088 39744 42849 50784 57132 59616 67712 76176 79488 85698 101568 114264 119232 152352 171396 203136 228528 238464 304704 342792 457056 609408 685584 914112 1371168 1828224 2742336 5484672