Search a number
-
+
35490432 = 273293187
BaseRepresentation
bin1000011101100…
…0101010000000
32110210002201110
42013120222000
533041143212
63304403320
7610443435
oct207305200
973702643
1035490432
111904053a
12ba76540
137478073
1449dbb8c
1531b0a3c
hex21d8a80

35490432 has 64 divisors (see below), whose sum is σ = 97552800. Its totient is φ = 11418624.

The previous prime is 35490421. The next prime is 35490439. The reversal of 35490432 is 23409453.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 35490432.

It is not an unprimeable number, because it can be changed into a prime (35490439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9543 + ... + 12729.

Almost surely, 235490432 is an apocalyptic number.

35490432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48776400).

35490432 is an abundant number, since it is smaller than the sum of its proper divisors (62062368).

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

35490432 is a wasteful number, since it uses less digits than its factorization.

35490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 35490432 is about 5957.3846610740. The cubic root of 35490432 is about 328.6273932577.

Adding to 35490432 its reverse (23409453), we get a palindrome (58899885).

The spelling of 35490432 in words is "thirty-five million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3187 3712 5568 6374 9561 11136 12748 19122 25496 38244 50992 76488 92423 101984 152976 184846 203968 277269 305952 369692 407936 554538 611904 739384 1109076 1223808 1478768 2218152 2957536 4436304 5915072 8872608 11830144 17745216 35490432