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61393104 = 24321921181
BaseRepresentation
bin1110101000110…
…0100011010000
311021112002111200
43222030203100
5111204034404
610031511200
71343555433
oct352144320
9137462450
1061393104
1131722603
1218688500
13c9470a6
14822181a
1555ca839
hex3a8c8d0

61393104 has 90 divisors (see below), whose sum is σ = 181487826. Its totient is φ = 19370880.

The previous prime is 61393093. The next prime is 61393181. The reversal of 61393104 is 40139316.

It can be written as a sum of positive squares in only one way, i.e., 60093504 + 1299600 = 7752^2 + 1140^2 .

It is a super-2 number, since 2×613931042 = 7538226437509632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51394 + ... + 52574.

Almost surely, 261393104 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 61393104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90743913).

61393104 is an abundant number, since it is smaller than the sum of its proper divisors (120094722).

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

61393104 is a wasteful number, since it uses less digits than its factorization.

61393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61393104 is about 7835.3751665124. The cubic root of 61393104 is about 394.4935109555.

The spelling of 61393104 in words is "sixty-one million, three hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1181 1368 1444 2166 2362 2736 2888 3249 3543 4332 4724 5776 6498 7086 8664 9448 10629 12996 14172 17328 18896 21258 22439 25992 28344 42516 44878 51984 56688 67317 85032 89756 134634 170064 179512 201951 269268 359024 403902 426341 538536 807804 852682 1077072 1279023 1615608 1705364 2558046 3231216 3410728 3837069 5116092 6821456 7674138 10232184 15348276 20464368 30696552 61393104