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53421768 = 2334194339
BaseRepresentation
bin1100101111001…
…0011011001000
310201112002220000
43023302123020
5102133444033
65145003000
71216035411
oct313623310
9121462800
1053421768
1128178624
1215a83460
13b0b5a1a
147148808
154a53a13
hex32f26c8

53421768 has 80 divisors (see below), whose sum is σ = 157542000. Its totient is φ = 16866144.

The previous prime is 53421763. The next prime is 53421833. The reversal of 53421768 is 86712435.

53421768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (53421761) 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 19 ways as a sum of consecutive naturals, for example, 10143 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (1969275).

Almost surely, 253421768 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 53421768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771000).

53421768 is an abundant number, since it is smaller than the sum of its proper divisors (104120232).

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

53421768 is a wasteful number, since it uses less digits than its factorization.

53421768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4363 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 53421768 is about 7309.0196333024. The cubic root of 53421768 is about 376.6223471841.

It can be divided in two parts, 53 and 421768, that added together give a triangular number (421821 = T918).

The spelling of 53421768 in words is "fifty-three million, four hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 4339 6156 8678 12312 13017 17356 26034 34712 39051 52068 78102 82441 104136 117153 156204 164882 234306 247323 312408 329764 351459 468612 494646 659528 702918 741969 937224 989292 1405836 1483938 1978584 2225907 2811672 2967876 4451814 5935752 6677721 8903628 13355442 17807256 26710884 53421768