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3940056448 = 27197322193
BaseRepresentation
bin1110101011011000…
…0111110110000000
3101011120220121100121
43222312013312000
531032123301243
61450545030024
7166431633016
oct35266076600
911146817317
103940056448
1117420717a9
1291b625314
134aa394363
142953cc8b6
15180d841ed
hexead87d80

3940056448 has 64 divisors (see below), whose sum is σ = 8376015600. Its totient is φ = 1840693248.

The previous prime is 3940056443. The next prime is 3940056451. The reversal of 3940056448 is 8446500493.

It is a happy number.

3940056448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940056443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166440 + ... + 188632.

Almost surely, 23940056448 is an apocalyptic number.

3940056448 is a gapful number since it is divisible by the number (38) 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 3940056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188007800).

3940056448 is an abundant number, since it is smaller than the sum of its proper divisors (4435959152).

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

3940056448 is a wasteful number, since it uses less digits than its factorization.

3940056448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22299 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 3940056448 is about 62769.8689499986. The cubic root of 3940056448 is about 1579.4315703455.

The spelling of 3940056448 in words is "three billion, nine hundred forty million, fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 128 146 152 292 304 584 608 1168 1216 1387 2336 2432 2774 4672 5548 9344 11096 22192 22193 44384 44386 88768 88772 177536 177544 355088 421667 710176 843334 1420352 1620089 1686668 2840704 3240178 3373336 6480356 6746672 12960712 13493344 25921424 26986688 30781691 51842848 53973376 61563382 103685696 123126764 207371392 246253528 492507056 985014112 1970028224 3940056448