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53787840 = 2635431303
BaseRepresentation
bin1100110100101…
…1110011000000
310202012201001020
43031023303000
5102232202330
65200505440
71222121601
oct315136300
9122181036
1053787840
11283a8667
121601b280
13b1b3532
147201da8
154ac7210
hex334bcc0

53787840 has 112 divisors (see below), whose sum is σ = 174882048. Its totient is φ = 13999104.

The previous prime is 53787827. The next prime is 53787863. The reversal of 53787840 is 4878735.

It is a junction number, because it is equal to n+sod(n) for n = 53787792 and 53787801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40629 + ... + 41931.

Almost surely, 253787840 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 53787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87441024).

53787840 is an abundant number, since it is smaller than the sum of its proper divisors (121094208).

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

53787840 is a wasteful number, since it uses less digits than its factorization.

53787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 53787840 is about 7334.0193618506. The cubic root of 53787840 is about 377.4806562899.

The spelling of 53787840 in words is "fifty-three million, seven hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1303 1376 1720 2064 2580 2606 2752 3440 3909 4128 5160 5212 6515 6880 7818 8256 10320 10424 13030 13760 15636 19545 20640 20848 26060 31272 39090 41280 41696 52120 56029 62544 78180 83392 104240 112058 125088 156360 168087 208480 224116 250176 280145 312720 336174 416960 448232 560290 625440 672348 840435 896464 1120580 1250880 1344696 1680870 1792928 2241160 2689392 3361740 3585856 4482320 5378784 6723480 8964640 10757568 13446960 17929280 26893920 53787840