Search a number
-
+
75426858 = 232131767283
BaseRepresentation
bin1000111111011…
…10110000101010
312020221002012100
410133232300222
5123302124413
611252354230
71604055243
oct437566052
9166832170
1075426858
1139638351
1221315976
131281b9a0
14a035cca
15694da73
hex47eec2a

75426858 has 96 divisors (see below), whose sum is σ = 189798336. Its totient is φ = 21441024.

The previous prime is 75426853. The next prime is 75426881. The reversal of 75426858 is 85862457.

It is not an unprimeable number, because it can be changed into a prime (75426853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266385 + ... + 266667.

It is an arithmetic number, because the mean of its divisors is an integer number (1977066).

Almost surely, 275426858 is an apocalyptic number.

75426858 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75426858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94899168).

75426858 is an abundant number, since it is smaller than the sum of its proper divisors (114371478).

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

75426858 is a wasteful number, since it uses less digits than its factorization.

75426858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 75426858 is about 8684.8637295009. The cubic root of 75426858 is about 422.5148773399.

It can be divided in two parts, 7542 and 6858, that added together give a square (14400 = 1202).

The spelling of 75426858 in words is "seventy-five million, four hundred twenty-six thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 67 78 102 117 134 153 201 221 234 283 306 402 442 566 603 663 849 871 1139 1206 1326 1698 1742 1989 2278 2547 2613 3417 3679 3978 4811 5094 5226 6834 7358 7839 9622 10251 11037 14433 14807 15678 18961 20502 22074 28866 29614 33111 37922 43299 44421 56883 62543 66222 86598 88842 113766 125086 133263 170649 187629 246493 266526 322337 341298 375258 492986 562887 644674 739479 967011 1125774 1478958 1934022 2218437 2901033 4190381 4436874 5802066 8380762 12571143 25142286 37713429 75426858