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53422512 = 243111343181
BaseRepresentation
bin1100101111001…
…0100110110000
310201112010220120
43023302212300
5102134010022
65145010240
71216040523
oct313624660
9121463816
1053422512
1128179140
1215a83980
13b0b6170
147148bba
154a53d5c
hex32f29b0

53422512 has 160 divisors (see below), whose sum is σ = 166822656. Its totient is φ = 14515200.

The previous prime is 53422489. The next prime is 53422513. The reversal of 53422512 is 21522435.

53422512 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 (24).

It is not an unprimeable number, because it can be changed into a prime (53422513) 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 31 ways as a sum of consecutive naturals, for example, 295062 + ... + 295242.

Almost surely, 253422512 is an apocalyptic number.

53422512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53422512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83411328).

53422512 is an abundant number, since it is smaller than the sum of its proper divisors (113400144).

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

53422512 is a wasteful number, since it uses less digits than its factorization.

53422512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 53422512 is about 7309.0705291439. The cubic root of 53422512 is about 376.6240955708.

Adding to 53422512 its reverse (21522435), we get a palindrome (74944947).

The spelling of 53422512 in words is "fifty-three million, four hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 43 44 48 52 66 78 86 88 104 129 132 143 156 172 176 181 208 258 264 286 312 344 362 429 473 516 528 543 559 572 624 688 724 858 946 1032 1086 1118 1144 1419 1448 1677 1716 1892 1991 2064 2172 2236 2288 2353 2838 2896 3354 3432 3784 3982 4344 4472 4706 5676 5973 6149 6708 6864 7059 7568 7783 7964 8688 8944 9412 11352 11946 12298 13416 14118 15566 15928 18447 18824 22704 23349 23892 24596 25883 26832 28236 31132 31856 36894 37648 46698 47784 49192 51766 56472 62264 73788 77649 85613 93396 95568 98384 101179 103532 112944 124528 147576 155298 171226 186792 202358 207064 256839 295152 303537 310596 342452 373584 404716 414128 513678 607074 621192 684904 809432 1027356 1112969 1214148 1242384 1369808 1618864 2054712 2225938 2428296 3338907 4109424 4451876 4856592 6677814 8903752 13355628 17807504 26711256 53422512