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53675440 = 24571373101
BaseRepresentation
bin1100110011000…
…0010110110000
310201222222212021
43030300112300
5102220103230
65154241224
71221143110
oct314602660
9121888767
1053675440
1128331175
1215b86214
13b174320
1471b3040
154aa3c7a
hex33305b0

53675440 has 160 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 16588800.

The previous prime is 53675429. The next prime is 53675449. The reversal of 53675440 is 4457635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53675396 and 53675405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53675449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531390 + ... + 531490.

Almost surely, 253675440 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 53675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78619968).

53675440 is an abundant number, since it is smaller than the sum of its proper divisors (103564496).

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

53675440 is a wasteful number, since it uses less digits than its factorization.

53675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 53675440 is about 7326.3524348751. The cubic root of 53675440 is about 377.2175335314.

The spelling of 53675440 in words is "fifty-three million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 73 80 91 101 104 112 130 140 146 182 202 208 260 280 292 364 365 404 455 505 511 520 560 584 707 728 730 808 910 949 1010 1022 1040 1168 1313 1414 1456 1460 1616 1820 1898 2020 2044 2555 2626 2828 2920 3535 3640 3796 4040 4088 4745 5110 5252 5656 5840 6565 6643 7070 7280 7373 7592 8080 8176 9191 9490 10220 10504 11312 13130 13286 14140 14746 15184 18382 18980 20440 21008 26260 26572 28280 29492 33215 36764 36865 37960 40880 45955 51611 52520 53144 56560 58984 66430 73528 73730 75920 91910 95849 103222 105040 106288 117968 132860 147056 147460 183820 191698 206444 258055 265720 294920 367640 383396 412888 479245 516110 531440 589840 670943 735280 766792 825776 958490 1032220 1341886 1533584 1916980 2064440 2683772 3354715 3833960 4128880 5367544 6709430 7667920 10735088 13418860 26837720 53675440