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3522626048 = 29432612
BaseRepresentation
bin1101000111110111…
…0000001000000000
3100002111102221111102
43101331300020000
524203243013143
61341314033532
7153202553534
oct32175601000
910074387442
103522626048
1115484810a7
128238788a8
13441a5c116
14255babbc4
151593cb0b8
hexd1f70200

3522626048 has 90 divisors (see below), whose sum is σ = 7325927037. Its totient is φ = 1692149760.

The previous prime is 3522626047. The next prime is 3522626053. The reversal of 3522626048 is 8406262253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2386127104 + 1136498944 = 48848^2 + 33712^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41968.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3522626047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57747938 + ... + 57747998.

Almost surely, 23522626048 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 3522626048

3522626048 is an abundant number, since it is smaller than the sum of its proper divisors (3803300989).

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

3522626048 is an frugal number, since it uses more digits than its factorization.

3522626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3522626048 is about 59351.7147856741. The cubic root of 3522626048 is about 1521.5591757153.

The spelling of 3522626048 in words is "three billion, five hundred twenty-two million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 128 172 244 256 344 488 512 688 976 1376 1849 1952 2623 2752 3698 3721 3904 5246 5504 7396 7442 7808 10492 11008 14792 14884 15616 20984 22016 29584 29768 31232 41968 59168 59536 83936 112789 118336 119072 160003 167872 225578 236672 238144 320006 335744 451156 473344 476288 640012 671488 902312 946688 952576 1280024 1342976 1804624 1905152 2560048 3609248 5120096 6880129 7218496 10240192 13760258 14436992 20480384 27520516 28873984 40960768 55041032 57747968 81921536 110082064 220164128 440328256 880656512 1761313024 3522626048