Search a number
-
+
75729402 = 23272194519
BaseRepresentation
bin1001000001110…
…00100111111010
312021111110012200
410200320213322
5123341320102
611303051030
71606455300
oct440704772
9167443180
1075729402
1139824691
1221440a76
13128c65c8
14a0b4270
1569ad51c
hex48389fa

75729402 has 72 divisors (see below), whose sum is σ = 200959200. Its totient is φ = 20493648.

The previous prime is 75729389. The next prime is 75729473. The reversal of 75729402 is 20492757.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14499 + ... + 19017.

It is an arithmetic number, because the mean of its divisors is an integer number (2791100).

Almost surely, 275729402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75729402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100479600).

75729402 is an abundant number, since it is smaller than the sum of its proper divisors (125229798).

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

75729402 is a wasteful number, since it uses less digits than its factorization.

75729402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75729402 is about 8702.2641881294. The cubic root of 75729402 is about 423.0790389333.

The spelling of 75729402 in words is "seventy-five million, seven hundred twenty-nine thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 4519 5586 8379 9038 13557 16758 27114 31633 40671 63266 81342 85861 94899 171722 189798 221431 257583 284697 442862 515166 569394 601027 664293 772749 1202054 1328586 1545498 1803081 1992879 3606162 3985758 4207189 5409243 8414378 10818486 12621567 25243134 37864701 75729402