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53713506 = 23721117977
BaseRepresentation
bin1100110011100…
…1101001100010
310202001221002010
43030321221202
5102222313011
65155133350
71221362100
oct314715142
9122057063
1053713506
1128357830
1215ba4256
13b188752
1471c2c70
154ab01a6
hex3339a62

53713506 has 96 divisors (see below), whose sum is σ = 144493632. Its totient is φ = 13117440.

The previous prime is 53713501. The next prime is 53713511. The reversal of 53713506 is 60531735.

53713506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53713501) and next prime (53713511).

It is not an unprimeable number, because it can be changed into a prime (53713501) 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 47 ways as a sum of consecutive naturals, for example, 54490 + ... + 55466.

It is an arithmetic number, because the mean of its divisors is an integer number (1505142).

Almost surely, 253713506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53713506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72246816).

53713506 is an abundant number, since it is smaller than the sum of its proper divisors (90780126).

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

53713506 is a wasteful number, since it uses less digits than its factorization.

53713506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 53713506 is about 7328.9498565620. The cubic root of 53713506 is about 377.3066852273.

The spelling of 53713506 in words is "fifty-three million, seven hundred thirteen thousand, five hundred six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 231 238 294 357 374 462 539 561 714 833 977 1078 1122 1309 1617 1666 1954 2499 2618 2931 3234 3927 4998 5862 6839 7854 9163 10747 13678 16609 18326 20517 21494 27489 32241 33218 41034 47873 49827 54978 64482 75229 95746 99654 116263 143619 150458 182699 225687 232526 287238 348789 365398 451374 526603 548097 697578 813841 1053206 1096194 1278893 1579809 1627682 2441523 2557786 3159618 3836679 4883046 7673358 8952251 17904502 26856753 53713506