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549938304 = 27321728081
BaseRepresentation
bin100000110001110…
…110010010000000
31102022210202112100
4200301312102000
52111241011204
6130323030400
716425253446
oct4061662200
91368722470
10549938304
11262475873
1213420b400
1389c1b3a6
1453074b96
153342ea39
hex20c76480

549938304 has 96 divisors (see below), whose sum is σ = 1675652940. Its totient is φ = 172523520.

The previous prime is 549938269. The next prime is 549938327. The reversal of 549938304 is 403839945.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 549808704 + 129600 = 23448^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 549938304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5544 + ... + 33624.

Almost surely, 2549938304 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 549938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837826470).

549938304 is an abundant number, since it is smaller than the sum of its proper divisors (1125714636).

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

549938304 is a wasteful number, since it uses less digits than its factorization.

549938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28118 (or 28103 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 549938304 is about 23450.7633990879. The cubic root of 549938304 is about 819.2906337914.

The spelling of 549938304 in words is "five hundred forty-nine million, nine hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 28081 56162 84243 112324 168486 224648 252729 336972 449296 477377 505458 673944 898592 954754 1010916 1347888 1432131 1797184 1909508 2021832 2695776 2864262 3594368 3819016 4043664 4296393 5391552 5728524 7638032 8087328 8592786 10783104 11457048 15276064 16174656 17185572 22914096 30552128 32349312 34371144 45828192 61104256 68742288 91656384 137484576 183312768 274969152 549938304