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3542436252 = 2232732695011
BaseRepresentation
bin1101001100100101…
…0100100110011100
3100010212201101222200
43103021110212130
524223330430002
61343302411500
7153533132325
oct32311244634
910125641880
103542436252
111558681873
1282a430b90
13445ba7034
1425868744c
1515aee0b1c
hexd325499c

3542436252 has 72 divisors (see below), whose sum is σ = 9112718160. Its totient is φ = 1160075520.

The previous prime is 3542436239. The next prime is 3542436253. The reversal of 3542436252 is 2526342453.

3542436252 is a `hidden beast` number, since 3 + 5 + 4 + 24 + 3 + 625 + 2 = 666.

It is a super-3 number, since 3×35424362523 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542436253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704427 + ... + 709437.

It is an arithmetic number, because the mean of its divisors is an integer number (126565530).

Almost surely, 23542436252 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 3542436252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556359080).

3542436252 is an abundant number, since it is smaller than the sum of its proper divisors (5570281908).

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

3542436252 is a wasteful number, since it uses less digits than its factorization.

3542436252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5358 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 3542436252 is about 59518.3690300734. The cubic root of 3542436252 is about 1524.4061114167.

The spelling of 3542436252 in words is "three billion, five hundred forty-two million, four hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 269 292 438 538 657 807 876 1076 1314 1614 2421 2628 3228 4842 5011 9684 10022 15033 19637 20044 30066 39274 45099 58911 60132 78548 90198 117822 176733 180396 235644 353466 365803 706932 731606 1097409 1347959 1463212 2194818 2695918 3292227 4043877 4389636 5391836 6584454 8087754 12131631 13168908 16175508 24263262 48526524 98401007 196802014 295203021 393604028 590406042 885609063 1180812084 1771218126 3542436252