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3940912848 = 243432517607
BaseRepresentation
bin1110101011100101…
…1000111011010000
3101011122112010010010
43222321120323100
531032333202343
61451015234520
7166442130555
oct35271307320
911148463103
103940912848
1117425a7174
1291b978a40
134aa6040c2
14295572a2c
15180ea2d33
hexeae58ed0

3940912848 has 80 divisors (see below), whose sum is σ = 10460330496. Its totient is φ = 1277808000.

The previous prime is 3940912831. The next prime is 3940912903. The reversal of 3940912848 is 8482190493.

It is a super-2 number, since 2×39409128482 = 31061588151062942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3940912797 and 3940912806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514261 + ... + 521867.

Almost surely, 23940912848 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 3940912848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230165248).

3940912848 is an abundant number, since it is smaller than the sum of its proper divisors (6519417648).

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

3940912848 is a wasteful number, since it uses less digits than its factorization.

3940912848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3940912848 is about 62776.6903237181. The cubic root of 3940912848 is about 1579.5459957119.

The spelling of 3940912848 in words is "three billion, nine hundred forty million, nine hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 251 258 344 502 516 688 753 1004 1032 1506 2008 2064 3012 4016 6024 7607 10793 12048 15214 21586 22821 30428 32379 43172 45642 60856 64758 86344 91284 121712 129516 172688 182568 259032 327101 365136 518064 654202 981303 1308404 1909357 1962606 2616808 3818714 3925212 5233616 5728071 7637428 7850424 11456142 15274856 15700848 22912284 30549712 45824568 82102351 91649136 164204702 246307053 328409404 492614106 656818808 985228212 1313637616 1970456424 3940912848