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61888428 = 22337711153
BaseRepresentation
bin1110110000010…
…1011110101100
311022110020222000
43230011132230
5111320412203
610050252300
71351020510
oct354053654
9138406860
1061888428
1131a30768
1218887090
13ca8b694
148310140
1556774a3
hex3b057ac

61888428 has 96 divisors (see below), whose sum is σ = 186117120. Its totient is φ = 17418240.

The previous prime is 61888399. The next prime is 61888433. The reversal of 61888428 is 82488816.

It is a happy number.

61888428 is a `hidden beast` number, since 618 + 8 + 8 + 4 + 28 = 666.

It is a super-2 number, since 2×618884282 = 7660355040622368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53100 + ... + 54252.

It is an arithmetic number, because the mean of its divisors is an integer number (1938720).

Almost surely, 261888428 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 61888428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93058560).

61888428 is an abundant number, since it is smaller than the sum of its proper divisors (124228692).

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

61888428 is a wasteful number, since it uses less digits than its factorization.

61888428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 61888428 is about 7866.9198546826. The cubic root of 61888428 is about 395.5516044975.

The spelling of 61888428 in words is "sixty-one million, eight hundred eighty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1153 1278 1491 1917 1988 2306 2556 2982 3459 3834 4473 4612 5964 6918 7668 8071 8946 10377 13419 13836 16142 17892 20754 24213 26838 31131 32284 41508 48426 53676 62262 72639 81863 96852 124524 145278 163726 217917 245589 290556 327452 435834 491178 573041 736767 871668 982356 1146082 1473534 1719123 2210301 2292164 2947068 3438246 4420602 5157369 6876492 8841204 10314738 15472107 20629476 30944214 61888428