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4444953408 = 26347347353
BaseRepresentation
bin1000010001111000…
…01001101101000000
3102110202222000210000
410020330021231000
533100402002113
62013022440000
7215102323560
oct41074115500
912422860700
104444953408
111981073315
12a40733000
1355ab7235c
1430249ada0
151b0368373
hex108f09b40

4444953408 has 280 divisors, whose sum is σ = 15144731712. Its totient is φ = 1262739456.

The previous prime is 4444953397. The next prime is 4444953413. The reversal of 4444953408 is 8043594444.

It is a super-2 number, since 2×44449534082 = 39515221598581628928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12591760 + ... + 12592112.

Almost surely, 24444953408 is an apocalyptic number.

4444953408 is a gapful number since it is divisible by the number (48) 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 4444953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572365856).

4444953408 is an abundant number, since it is smaller than the sum of its proper divisors (10699778304).

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

4444953408 is a wasteful number, since it uses less digits than its factorization.

4444953408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4444953408 is about 66670.4837840554. The cubic root of 4444953408 is about 1644.2041410947.

The spelling of 4444953408 in words is "four billion, four hundred forty-four million, nine hundred fifty-three thousand, four hundred eight".