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3542226272 = 251319344119
BaseRepresentation
bin1101001100100010…
…0001010101100000
3100010212022201221122
43103020201111200
524223302220042
61343254111412
7153531266204
oct32310412540
910125281848
103542226272
111558549032
1282a34b568
13445b325a0
14258630b04
1515ae9d7d2
hexd3221560

3542226272 has 48 divisors (see below), whose sum is σ = 7549284960. Its totient is φ = 1626365952.

The previous prime is 3542226271. The next prime is 3542226323. The reversal of 3542226272 is 2726222453.

It is a super-3 number, since 3×35422262723 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542226271) 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, 58229 + ... + 102347.

It is an arithmetic number, because the mean of its divisors is an integer number (157276770).

Almost surely, 23542226272 is an apocalyptic number.

3542226272 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 3542226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774642480).

3542226272 is an abundant number, since it is smaller than the sum of its proper divisors (4007058688).

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

3542226272 is a wasteful number, since it uses less digits than its factorization.

3542226272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44335 (or 44327 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 3542226272 is about 59516.6050107027. The cubic root of 3542226272 is about 1524.3759907975.

The spelling of 3542226272 in words is "three billion, five hundred forty-two million, two hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 772 1544 2509 3088 5018 6176 10036 20072 40144 44119 80288 88238 176476 352952 573547 705904 1147094 1411808 2294188 4588376 8514967 9176752 17029934 18353504 34059868 68119736 110694571 136239472 221389142 272478944 442778284 885556568 1771113136 3542226272