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53868744 = 23323773277
BaseRepresentation
bin1100110101111…
…1100011001000
310202100211000200
43031133203020
5102242244434
65202332200
71222606506
oct315374310
9122324020
1053868744
1128453426
121605a060
13b2112c7
147223676
154ae1199
hex335f8c8

53868744 has 96 divisors (see below), whose sum is σ = 152438520. Its totient is φ = 17169408.

The previous prime is 53868739. The next prime is 53868769. The reversal of 53868744 is 44786835.

It can be written as a sum of positive squares in 4 ways, for example, as 48860100 + 5008644 = 6990^2 + 2238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53868744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194334 + ... + 194610.

Almost surely, 253868744 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 53868744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76219260).

53868744 is an abundant number, since it is smaller than the sum of its proper divisors (98569776).

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

53868744 is a wasteful number, since it uses less digits than its factorization.

53868744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 53868744 is about 7339.5329551682. The cubic root of 53868744 is about 377.6698216966.

The spelling of 53868744 in words is "fifty-three million, eight hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 73 74 111 146 148 219 222 277 292 296 333 438 444 554 584 657 666 831 876 888 1108 1314 1332 1662 1752 2216 2493 2628 2664 2701 3324 4986 5256 5402 6648 8103 9972 10249 10804 16206 19944 20221 20498 21608 24309 30747 32412 40442 40996 48618 60663 61494 64824 80884 81992 92241 97236 121326 122988 161768 181989 184482 194472 242652 245976 363978 368964 485304 727956 737928 748177 1455912 1496354 2244531 2992708 4489062 5985416 6733593 8978124 13467186 17956248 26934372 53868744