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53778140 = 2251317233
BaseRepresentation
bin1100110100100…
…1011011011100
310202012012201222
43031021123130
5102231400030
65200352512
71222051403
oct315113334
9122165658
1053778140
11283a1349
1216015738
13b1abcb0
1471dc63a
154ac43e5
hex33496dc

53778140 has 96 divisors (see below), whose sum is σ = 134628480. Its totient is φ = 17875968.

The previous prime is 53778139. The next prime is 53778143. The reversal of 53778140 is 4187735.

It is a super-4 number, since 4×537781404 (a number of 32 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53778140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53778143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338169 + ... + 2338191.

It is an arithmetic number, because the mean of its divisors is an integer number (1402380).

Almost surely, 253778140 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 53778140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240).

53778140 is an abundant number, since it is smaller than the sum of its proper divisors (80850340).

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

53778140 is a wasteful number, since it uses less digits than its factorization.

53778140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 53778140 is about 7333.3580302614. The cubic root of 53778140 is about 377.4579635370.

The spelling of 53778140 in words is "fifty-three million, seven hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 23 26 34 46 52 65 68 85 92 115 130 170 221 230 260 299 340 391 442 460 529 598 782 884 1058 1105 1196 1495 1564 1955 2116 2210 2645 2990 3910 4420 5083 5290 5980 6877 7820 8993 10166 10580 12167 13754 17986 20332 24334 25415 27508 34385 35972 44965 48668 50830 60835 68770 89930 101660 116909 121670 137540 158171 179860 206839 233818 243340 316342 413678 467636 584545 632684 790855 827356 1034195 1169090 1581710 2068390 2338180 2688907 3163420 4136780 5377814 10755628 13444535 26889070 53778140