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59268468 = 22376710531
BaseRepresentation
bin1110001000010…
…1110101110100
311010112011001110
43202011311310
5110133042333
65514155020
71316526240
oct342056564
9133464043
1059268468
1130501306
1217a22a70
13c381ccc
147c2b420
15530b063
hex3885d74

59268468 has 48 divisors (see below), whose sum is σ = 160423424. Its totient is φ = 16679520.

The previous prime is 59268463. The next prime is 59268533. The reversal of 59268468 is 86486295.

It is a happy number.

59268468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59268463) 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, 363 + ... + 10893.

Almost surely, 259268468 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 59268468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80211712).

59268468 is an abundant number, since it is smaller than the sum of its proper divisors (101154956).

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

59268468 is a wasteful number, since it uses less digits than its factorization.

59268468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10610 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 59268468 is about 7698.6016912164. The cubic root of 59268468 is about 389.8892256067.

The spelling of 59268468 in words is "fifty-nine million, two hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 10531 21062 31593 42124 63186 73717 126372 147434 221151 294868 442302 705577 884604 1411154 2116731 2822308 4233462 4939039 8466924 9878078 14817117 19756156 29634234 59268468