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53293000 = 2353137389
BaseRepresentation
bin1100101101001…
…0111111001000
310201021120020211
43023102333020
5102120334000
65142130504
71214661115
oct313227710
9121246224
1053293000
112809a902
1215a20a34
13b06c227
14711390c
154a2a7ba
hex32d2fc8

53293000 has 64 divisors (see below), whose sum is σ = 125938800. Its totient is φ = 21107200.

The previous prime is 53292997. The next prime is 53293049. The reversal of 53293000 is 39235.

It can be written as a sum of positive squares in 8 ways, for example, as 381924 + 52911076 = 618^2 + 7274^2 .

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, 136806 + ... + 137194.

Almost surely, 253293000 is an apocalyptic number.

53293000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969400).

53293000 is an abundant number, since it is smaller than the sum of its proper divisors (72645800).

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

53293000 is a wasteful number, since it uses less digits than its factorization.

53293000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 53293000 is about 7300.2054765602. The cubic root of 53293000 is about 376.3194998231.

The spelling of 53293000 in words is "fifty-three million, two hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 389 500 548 685 778 1000 1096 1370 1556 1945 2740 3112 3425 3890 5480 6850 7780 9725 13700 15560 17125 19450 27400 34250 38900 48625 53293 68500 77800 97250 106586 137000 194500 213172 266465 389000 426344 532930 1065860 1332325 2131720 2664650 5329300 6661625 10658600 13323250 26646500 53293000