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53042304 = 273722819
BaseRepresentation
bin1100101001010…
…1110010000000
310200210211100210
43022111302000
5102034323204
65132514120
71212565200
oct312256200
9120724323
1053042304
1127a39517
121591b940
13acb20a3
14708a400
1549cb389
hex3295c80

53042304 has 96 divisors (see below), whose sum is σ = 163954800. Its totient is φ = 15149568.

The previous prime is 53042303. The next prime is 53042321. The reversal of 53042304 is 40324035.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (53042303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17407 + ... + 20225.

Almost surely, 253042304 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 53042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81977400).

53042304 is an abundant number, since it is smaller than the sum of its proper divisors (110912496).

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

53042304 is a wasteful number, since it uses less digits than its factorization.

53042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 53042304 is about 7283.0147603860. The cubic root of 53042304 is about 375.7284896688.

Adding to 53042304 its reverse (40324035), we get a palindrome (93366339).

The spelling of 53042304 in words is "fifty-three million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 2819 3136 4704 5638 6272 8457 9408 11276 16914 18816 19733 22552 33828 39466 45104 59199 67656 78932 90208 118398 135312 138131 157864 180416 236796 270624 276262 315728 360832 414393 473592 541248 552524 631456 828786 947184 1082496 1105048 1262912 1657572 1894368 2210096 2525824 3315144 3788736 4420192 6630288 7577472 8840384 13260576 17680768 26521152 53042304