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74114928 = 2432895783
BaseRepresentation
bin1000110101011…
…10011101110000
312011110102120100
410122232131300
5122433134203
611204312400
71556652336
oct432563560
9164412510
1074114928
1138921708
12209a2700
131247c7b4
149bb3b56
15678eea3
hex46ae770

74114928 has 60 divisors (see below), whose sum is σ = 209785680. Its totient is φ = 24423168.

The previous prime is 74114899. The next prime is 74114969. The reversal of 74114928 is 82941147.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74114892 and 74114901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9925 + ... + 15707.

It is an arithmetic number, because the mean of its divisors is an integer number (3496428).

Almost surely, 274114928 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 74114928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104892840).

74114928 is an abundant number, since it is smaller than the sum of its proper divisors (135670752).

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

74114928 is a wasteful number, since it uses less digits than its factorization.

74114928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5877 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 74114928 is about 8609.0027297010. The cubic root of 74114928 is about 420.0508781902.

The spelling of 74114928 in words is "seventy-four million, one hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 5783 6408 11566 12816 17349 23132 34698 46264 52047 69396 92528 104094 138792 208188 277584 416376 514687 832752 1029374 1544061 2058748 3088122 4117496 4632183 6176244 8234992 9264366 12352488 18528732 24704976 37057464 74114928