Search a number
-
+
59454164 = 227111371409
BaseRepresentation
bin1110001011001…
…1001011010100
311010212120210002
43202303023110
5110210013124
65522150432
71321231520
oct342631324
9133776702
1059454164
1130618880
1217ab2418
13c4186a3
147c78d80
1553460ae
hex38b32d4

59454164 has 48 divisors (see below), whose sum is σ = 130757760. Its totient is φ = 22978560.

The previous prime is 59454163. The next prime is 59454167. The reversal of 59454164 is 46145495.

59454164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59454163) 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, 41492 + ... + 42900.

It is an arithmetic number, because the mean of its divisors is an integer number (2724120).

Almost surely, 259454164 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 59454164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65378880).

59454164 is an abundant number, since it is smaller than the sum of its proper divisors (71303596).

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

59454164 is a wasteful number, since it uses less digits than its factorization.

59454164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1566 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 59454164 is about 7710.6526312628. The cubic root of 59454164 is about 390.2959926987.

The spelling of 59454164 in words is "fifty-nine million, four hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 548 959 1409 1507 1918 2818 3014 3836 5636 6028 9863 10549 15499 19726 21098 30998 39452 42196 61996 108493 193033 216986 386066 433972 772132 1351231 2123363 2702462 4246726 5404924 8493452 14863541 29727082 59454164