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3542444500 = 225374792113
BaseRepresentation
bin1101001100100101…
…0110100111010100
3100010212201211022011
43103021112213110
524223331211000
61343302514004
7153533165350
oct32311264724
910125654264
103542444500
111558687a91
1282a435904
13445baaa0a
1425868a460
1515aee32ba
hexd32569d4

3542444500 has 96 divisors (see below), whose sum is σ = 8864593920. Its totient is φ = 1211443200.

The previous prime is 3542444497. The next prime is 3542444527. The reversal of 3542444500 is 54442453.

3542444500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35424445003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675444 + ... + 1677556.

It is an arithmetic number, because the mean of its divisors is an integer number (92339520).

Almost surely, 23542444500 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 3542444500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432296960).

3542444500 is an abundant number, since it is smaller than the sum of its proper divisors (5322149420).

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

3542444500 is a wasteful number, since it uses less digits than its factorization.

3542444500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 3542444500 is about 59518.4383195661. The cubic root of 3542444500 is about 1524.4072945282.

Adding to 3542444500 its reverse (54442453), we get a palindrome (3596886953).

The spelling of 3542444500 in words is "three billion, five hundred forty-two million, four hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 479 500 700 875 958 1750 1916 2113 2395 3353 3500 4226 4790 6706 8452 9580 10565 11975 13412 14791 16765 21130 23950 29582 33530 42260 47900 52825 59164 59875 67060 73955 83825 105650 119750 147910 167650 211300 239500 264125 295820 335300 369775 419125 528250 739550 838250 1012127 1056500 1479100 1676500 1848875 2024254 3697750 4048508 5060635 7084889 7395500 10121270 14169778 20242540 25303175 28339556 35424445 50606350 70848890 101212700 126515875 141697780 177122225 253031750 354244450 506063500 708488900 885611125 1771222250 3542444500