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53991696 = 24311293349
BaseRepresentation
bin1100110111110…
…1100100010000
310202121001200110
43031331210100
5102310213241
65205121320
71223631123
oct315754420
9122531613
1053991696
1128527840
12160b9240
13b255265
1472563ba
154b17816
hex337d910

53991696 has 80 divisors (see below), whose sum is σ = 153115200. Its totient is φ = 16258560.

The previous prime is 53991661. The next prime is 53991697. The reversal of 53991696 is 69619935.

53991696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×539916963 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (53991697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154530 + ... + 154878.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 253991696 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 53991696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76557600).

53991696 is an abundant number, since it is smaller than the sum of its proper divisors (99123504).

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

53991696 is a wasteful number, since it uses less digits than its factorization.

53991696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 393660, while the sum is 48.

The square root of 53991696 is about 7347.9041909921. The cubic root of 53991696 is about 377.9569391893.

It can be divided in two parts, 539 and 91696, that added together give a triangular number (92235 = T429).

The spelling of 53991696 in words is "fifty-three million, nine hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 293 349 528 586 698 879 1047 1172 1396 1758 2094 2344 2792 3223 3516 3839 4188 4688 5584 6446 7032 7678 8376 9669 11517 12892 14064 15356 16752 19338 23034 25784 30712 38676 46068 51568 61424 77352 92136 102257 154704 184272 204514 306771 409028 613542 818056 1124827 1227084 1636112 2249654 2454168 3374481 4499308 4908336 6748962 8998616 13497924 17997232 26995848 53991696