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3525416352 = 25338834621
BaseRepresentation
bin1101001000100001…
…1001010110100000
3100002200200201002000
43102020121112200
524210001310402
61341453524000
7153235354533
oct32210312640
910080621060
103525416352
11154a007537
128247a3600
134424c81a3
142562d6a1a
1515977cc1c
hexd22195a0

3525416352 has 96 divisors (see below), whose sum is σ = 10296336960. Its totient is φ = 1173553920.

The previous prime is 3525416341. The next prime is 3525416357. The reversal of 3525416352 is 2536145253.

3525416352 is a `hidden beast` number, since 3 + 5 + 2 + 541 + 63 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3525416357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760602 + ... + 765222.

It is an arithmetic number, because the mean of its divisors is an integer number (107253510).

Almost surely, 23525416352 is an apocalyptic number.

3525416352 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 3525416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148168480).

3525416352 is an abundant number, since it is smaller than the sum of its proper divisors (6770920608).

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

3525416352 is a wasteful number, since it uses less digits than its factorization.

3525416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5509 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 3525416352 is about 59375.2166480258. The cubic root of 3525416352 is about 1521.9608166212.

The spelling of 3525416352 in words is "three billion, five hundred twenty-five million, four hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 883 1766 2649 3532 4621 5298 7064 7947 9242 10596 13863 14128 15894 18484 21192 23841 27726 28256 31788 36968 41589 42384 47682 55452 63576 73936 83178 84768 95364 110904 124767 127152 147872 166356 190728 221808 249534 254304 332712 381456 443616 499068 665424 762912 998136 1330848 1996272 3992544 4080343 8160686 12241029 16321372 24482058 32642744 36723087 48964116 65285488 73446174 97928232 110169261 130570976 146892348 195856464 220338522 293784696 391712928 440677044 587569392 881354088 1175138784 1762708176 3525416352