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4080970992 = 243738931223
BaseRepresentation
bin1111001100111110…
…1010110011110000
3101112102001210202210
43303033222303300
531324212032432
61512541212120
7203062452420
oct36317526360
911472053683
104080970992
1118046689aa
1295a861040
13500631a47
142a9dd0480
1518d41b8cc
hexf33eacf0

4080970992 has 80 divisors (see below), whose sum is σ = 12079941120. Its totient is φ = 1162957056.

The previous prime is 4080970987. The next prime is 4080970997. The reversal of 4080970992 is 2990790804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4080970987) and next prime (4080970997).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080970997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115093 + ... + 146315.

It is an arithmetic number, because the mean of its divisors is an integer number (150999264).

Almost surely, 24080970992 is an apocalyptic number.

4080970992 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 4080970992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039970560).

4080970992 is an abundant number, since it is smaller than the sum of its proper divisors (7998970128).

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

4080970992 is a wasteful number, since it uses less digits than its factorization.

4080970992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31630 (or 31624 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 4080970992 is about 63882.4779732283. The cubic root of 4080970992 is about 1598.0406996098.

The spelling of 4080970992 in words is "four billion, eighty million, nine hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 16338 18672 21784 31223 32676 43568 62446 65352 93669 124892 130704 187338 218561 249784 374676 437122 499568 655683 749352 874244 1311366 1498704 1748488 2622732 3496976 5245464 10490928 12145747 24291494 36437241 48582988 72874482 85020229 97165976 145748964 170040458 194331952 255060687 291497928 340080916 510121374 582995856 680161832 1020242748 1360323664 2040485496 4080970992