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53749296 = 24322961211
BaseRepresentation
bin1100110100001…
…0011000110000
310202010202011200
43031002120300
5102224434141
65200011200
71221601326
oct315023060
9122122150
1053749296
1128381707
1216000b00
13b19bb23
1471d1d16
154abaab6
hex3342630

53749296 has 120 divisors (see below), whose sum is σ = 158910960. Its totient is φ = 16934400.

The previous prime is 53749273. The next prime is 53749301. The reversal of 53749296 is 69294735.

It is a happy number.

Its product of digits (408240) is a multiple of the sum of its prime factors (315).

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, 254631 + ... + 254841.

It is an arithmetic number, because the mean of its divisors is an integer number (1324258).

Almost surely, 253749296 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 53749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79455480).

53749296 is an abundant number, since it is smaller than the sum of its proper divisors (105161664).

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

53749296 is a wasteful number, since it uses less digits than its factorization.

53749296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 53749296 is about 7331.3911367489. The cubic root of 53749296 is about 377.3904680542.

It can be divided in two parts, 53749 and 296, that added together give a palindrome (54045).

The spelling of 53749296 in words is "fifty-three million, seven hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 211 232 244 261 348 366 422 464 488 522 549 633 696 732 844 976 1044 1098 1266 1392 1464 1688 1769 1899 2088 2196 2532 2928 3376 3538 3798 4176 4392 5064 5307 6119 7076 7596 8784 10128 10614 12238 12871 14152 15192 15921 18357 21228 24476 25742 28304 30384 31842 36714 38613 42456 48952 51484 55071 63684 73428 77226 84912 97904 102968 110142 115839 127368 146856 154452 205936 220284 231678 254736 293712 308904 373259 440568 463356 617808 746518 881136 926712 1119777 1493036 1853424 2239554 2986072 3359331 4479108 5972144 6718662 8958216 13437324 17916432 26874648 53749296