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59090944 = 211114361
BaseRepresentation
bin1110000101101…
…0100000000000
311010012010112111
43201122200000
5110111402234
65510305104
71315156543
oct341324000
9133163474
1059090944
113039a9a0
1217958194
13c31c273
147bc285a
1552c3664
hex385a800

59090944 has 96 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 25804800.

The previous prime is 59090939. The next prime is 59090989. The reversal of 59090944 is 44909095.

It is a super-2 number, since 2×590909442 = 6983479325622272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59090897 and 59090906.

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, 968674 + ... + 968734.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 259090944 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 59090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

59090944 is an abundant number, since it is smaller than the sum of its proper divisors (74962976).

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

59090944 is a wasteful number, since it uses less digits than its factorization.

59090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 59090944 is about 7687.0634184973. The cubic root of 59090944 is about 389.4995641358.

The spelling of 59090944 in words is "fifty-nine million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 61 64 86 88 122 128 172 176 244 256 344 352 473 488 512 671 688 704 946 976 1024 1342 1376 1408 1892 1952 2048 2623 2684 2752 2816 3784 3904 5246 5368 5504 5632 7568 7808 10492 10736 11008 11264 15136 15616 20984 21472 22016 22528 28853 30272 31232 41968 42944 44032 57706 60544 62464 83936 85888 88064 115412 121088 124928 167872 171776 230824 242176 335744 343552 461648 484352 671488 687104 923296 968704 1342976 1374208 1846592 2685952 3693184 5371904 7386368 14772736 29545472 59090944