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4149999792 = 243335926759
BaseRepresentation
bin1111011101011011…
…1111100010110000
3101201012221211111000
43313112333202300
531444344443132
61523444522000
7204561262521
oct36726774260
911635854430
104149999792
11183a6262a4
129799b0300
13511a204a3
142b523c848
1519450487c
hexf75bf8b0

4149999792 has 80 divisors (see below), whose sum is σ = 11945664000. Its totient is φ = 1379428416.

The previous prime is 4149999773. The next prime is 4149999823. The reversal of 4149999792 is 2979999414.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141709 + ... + 168467.

It is an arithmetic number, because the mean of its divisors is an integer number (149320800).

Almost surely, 24149999792 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 4149999792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972832000).

4149999792 is an abundant number, since it is smaller than the sum of its proper divisors (7795664208).

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

4149999792 is a wasteful number, since it uses less digits than its factorization.

4149999792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27135 (or 27123 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The square root of 4149999792 is about 64420.4920192325. The cubic root of 4149999792 is about 1607.0005484456. Note that the first 3 decimals are identical.

The spelling of 4149999792 in words is "four billion, one hundred forty-nine million, nine hundred ninety-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 359 432 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 26759 38772 51696 53518 77544 80277 107036 155088 160554 214072 240831 321108 428144 481662 642216 722493 963324 1284432 1444986 1926648 2889972 3853296 5779944 9606481 11559888 19212962 28819443 38425924 57638886 76851848 86458329 115277772 153703696 172916658 230555544 259374987 345833316 461111088 518749974 691666632 1037499948 1383333264 2074999896 4149999792