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61528005 = 3457111973
BaseRepresentation
bin1110101010110…
…1011111000101
311021202221120000
43222231133011
5111222344010
610034431513
71344656640
oct352553705
9137687500
1061528005
11318049a0
1218732599
13c993606
148258a57
1556057c0
hex3aad7c5

61528005 has 80 divisors (see below), whose sum is σ = 137579904. Its totient is φ = 25557120.

The previous prime is 61527989. The next prime is 61528007. The reversal of 61528005 is 50082516.

It is not a de Polignac number, because 61528005 - 24 = 61527989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61528005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61528007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30199 + ... + 32171.

Almost surely, 261528005 is an apocalyptic number.

It is an amenable number.

61528005 is an abundant number, since it is smaller than the sum of its proper divisors (76051899).

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

61528005 is a wasteful number, since it uses less digits than its factorization.

61528005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61528005 is about 7843.9789010425. The cubic root of 61528005 is about 394.7822439146.

The spelling of 61528005 in words is "sixty-one million, five hundred twenty-eight thousand, five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 1973 2079 2835 3465 4455 5919 6237 9865 10395 13811 17757 21703 29595 31185 41433 53271 65109 69055 88785 108515 124299 151921 159813 195327 207165 266355 325545 372897 455763 585981 621495 759605 799065 976635 1118691 1367289 1757943 1864485 2278815 2929905 4101867 5593455 6836445 8789715 12305601 20509335 61528005