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53249940 = 22335313181
BaseRepresentation
bin1100101100100…
…0011110010100
310201012101012000
43023020132110
5102112444230
65141155300
71214421432
oct313103624
9121171160
1053249940
1128070517
12159bbb30
13b055753
147101d52
154a1cb60
hex32c8794

53249940 has 96 divisors (see below), whose sum is σ = 171064320. Its totient is φ = 13737600.

The previous prime is 53249921. The next prime is 53249983. The reversal of 53249940 is 4994235.

It is a super-2 number, since 2×532499402 = 5671112220007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53249895 and 53249904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15150 + ... + 18330.

It is an arithmetic number, because the mean of its divisors is an integer number (1781920).

Almost surely, 253249940 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 53249940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85532160).

53249940 is an abundant number, since it is smaller than the sum of its proper divisors (117814380).

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

53249940 is a wasteful number, since it uses less digits than its factorization.

53249940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53249940 is about 7297.2556485298. The cubic root of 53249940 is about 376.2181188794.

The spelling of 53249940 in words is "fifty-three million, two hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3181 3348 4185 5580 6362 8370 9543 12724 15905 16740 19086 28629 31810 38172 47715 57258 63620 85887 95430 98611 114516 143145 171774 190860 197222 286290 295833 343548 394444 429435 493055 572580 591666 858870 887499 986110 1183332 1479165 1717740 1774998 1972220 2662497 2958330 3549996 4437495 5324994 5916660 8874990 10649988 13312485 17749980 26624970 53249940