Search a number
-
+
75730656 = 2531941519
BaseRepresentation
bin1001000001110…
…00111011100000
312021111111221010
410200320323200
5123341340111
611303100520
71606462041
oct440707340
9167444833
1075730656
1139825621
1221441740
13128c7051
14a0b48c8
1569adaa6
hex4838ee0

75730656 has 48 divisors (see below), whose sum is σ = 209260800. Its totient is φ = 23914368.

The previous prime is 75730639. The next prime is 75730661. The reversal of 75730656 is 65603757.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 18936 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (4359600).

Almost surely, 275730656 is an apocalyptic number.

75730656 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

75730656 is an abundant number, since it is smaller than the sum of its proper divisors (133530144).

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

75730656 is a wasteful number, since it uses less digits than its factorization.

75730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41551 (or 41543 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 75730656 is about 8702.3362380455. The cubic root of 75730656 is about 423.0813741697.

It can be divided in two parts, 757 and 30656, that added together give a palindrome (31413).

The spelling of 75730656 in words is "seventy-five million, seven hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 41519 83038 124557 166076 249114 332152 498228 664304 788861 996456 1328608 1577722 1992912 2366583 3155444 3985824 4733166 6310888 9466332 12621776 18932664 25243552 37865328 75730656