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5435064 = 23321929137
BaseRepresentation
bin10100101110111010111000
3101020010111200
4110232322320
52342410224
6312254200
764124445
oct24567270
911203450
105435064
113082498
1219a1360
131183b1b
14a169cc
157255c9
hex52eeb8

5435064 has 96 divisors (see below), whose sum is σ = 16146000. Its totient is φ = 1645056.

The previous prime is 5435063. The next prime is 5435077. The reversal of 5435064 is 4605345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39604 + ... + 39740.

Almost surely, 25435064 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 5435064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073000).

5435064 is an abundant number, since it is smaller than the sum of its proper divisors (10710936).

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

5435064 is a wasteful number, since it uses less digits than its factorization.

5435064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5435064 is about 2331.3223715308. The cubic root of 5435064 is about 175.8199777721.

The spelling of 5435064 in words is "five million, four hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 137 152 171 174 228 232 261 274 342 348 411 456 522 548 551 684 696 822 1044 1096 1102 1233 1368 1644 1653 2088 2204 2466 2603 3288 3306 3973 4408 4932 4959 5206 6612 7809 7946 9864 9918 10412 11919 13224 15618 15892 19836 20824 23427 23838 31236 31784 35757 39672 46854 47676 62472 71514 75487 93708 95352 143028 150974 187416 226461 286056 301948 452922 603896 679383 905844 1358766 1811688 2717532 5435064