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4338052992 = 273271341381
BaseRepresentation
bin1000000101001000…
…10110111110000000
3102012022210220222100
410002210112332000
532341020143432
61554243310400
7212333561550
oct40244267600
912168726870
104338052992
111926799469
12a1097b400
13541983a80
142d21d1160
151a5c9e07c
hex102916f80

4338052992 has 192 divisors, whose sum is σ = 15364308960. Its totient is φ = 1144074240.

The previous prime is 4338052987. The next prime is 4338052993. The reversal of 4338052992 is 2992508334.

It is a happy number.

4338052992 is a `hidden beast` number, since 4 + 3 + 38 + 0 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×43380529922 = 37637407522800304128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338052993) 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, 84142 + ... + 125522.

Almost surely, 24338052992 is an apocalyptic number.

4338052992 is a gapful number since it is divisible by the number (42) 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 4338052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682154480).

4338052992 is an abundant number, since it is smaller than the sum of its proper divisors (11026255968).

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

4338052992 is a wasteful number, since it uses less digits than its factorization.

4338052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41421 (or 41406 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4338052992 is about 65863.8974856484. The cubic root of 4338052992 is about 1630.9160911126.

The spelling of 4338052992 in words is "four billion, three hundred thirty-eight million, fifty-two thousand, nine hundred ninety-two".