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4006004292 = 22322273311481
BaseRepresentation
bin1110111011000110…
…1100011001000100
3101100012000002210100
43232301230121010
531201014114132
61501302324100
7201162321543
oct35661543104
911305002710
104006004292
111776315354
12939729630
134bac44654
142a007815a
15186a5e37c
hexeec6c644

4006004292 has 72 divisors (see below), whose sum is σ = 10208513952. Its totient is φ = 1324540800.

The previous prime is 4006004279. The next prime is 4006004329. The reversal of 4006004292 is 2924006004.

4006004292 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2704192 + ... + 2705672.

It is an arithmetic number, because the mean of its divisors is an integer number (141784916).

Almost surely, 24006004292 is an apocalyptic number.

It is an amenable number.

4006004292 is an abundant number, since it is smaller than the sum of its proper divisors (6202509660).

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

4006004292 is a wasteful number, since it uses less digits than its factorization.

4006004292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4006004292 is about 63293.0034995970. The cubic root of 4006004292 is about 1588.1949231675.

The spelling of 4006004292 in words is "four billion, six million, four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 227 331 454 662 681 908 993 1324 1362 1481 1986 2043 2724 2962 2979 3972 4086 4443 5924 5958 8172 8886 11916 13329 17772 26658 53316 75137 150274 225411 300548 336187 450822 490211 672374 676233 901644 980422 1008561 1344748 1352466 1470633 1960844 2017122 2704932 2941266 3025683 4034244 4411899 5882532 6051366 8823798 12102732 17647596 111277897 222555794 333833691 445111588 667667382 1001501073 1335334764 2003002146 4006004292