Search a number
-
+
59420544 = 273271571
BaseRepresentation
bin1110001010101…
…0111110000000
311010210212122220
43202222332000
5110202424134
65521331040
71321031511
oct342527600
9133725586
1059420544
11305a5597
1217a96a80
13c4062b1
147c6aa08
15533b149
hex38aaf80

59420544 has 64 divisors (see below), whose sum is σ = 158695680. Its totient is φ = 19699200.

The previous prime is 59420533. The next prime is 59420563. The reversal of 59420544 is 44502495.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103779 + ... + 104349.

It is an arithmetic number, because the mean of its divisors is an integer number (2479620).

Almost surely, 259420544 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 59420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79347840).

59420544 is an abundant number, since it is smaller than the sum of its proper divisors (99275136).

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

59420544 is a wasteful number, since it uses less digits than its factorization.

59420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 59420544 is about 7708.4722221722. The cubic root of 59420544 is about 390.2224109425. Note that the first 3 decimals are identical.

The spelling of 59420544 in words is "fifty-nine million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 571 813 1084 1142 1626 1713 2168 2284 3252 3426 4336 4568 6504 6852 8672 9136 13008 13704 17344 18272 26016 27408 34688 36544 52032 54816 73088 104064 109632 154741 219264 309482 464223 618964 928446 1237928 1856892 2475856 3713784 4951712 7427568 9903424 14855136 19806848 29710272 59420544