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4004742612 = 22313238912541
BaseRepresentation
bin1110111010110011…
…1000010111010100
3101100002122000002110
43232230320113110
531200203230422
61501215311020
7201145515303
oct35654702724
911302560073
104004742612
111775633442
1293921b470
134ba8c22b0
1429dc2a43a
151868b060c
hexeeb385d4

4004742612 has 96 divisors (see below), whose sum is σ = 10619562240. Its totient is φ = 1165317120.

The previous prime is 4004742571. The next prime is 4004742629. The reversal of 4004742612 is 2162474004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004742612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313062 + ... + 325602.

It is an arithmetic number, because the mean of its divisors is an integer number (110620440).

Almost surely, 24004742612 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 4004742612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309781120).

4004742612 is an abundant number, since it is smaller than the sum of its proper divisors (6614819628).

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

4004742612 is a wasteful number, since it uses less digits than its factorization.

4004742612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4004742612 is about 63283.0357362856. The cubic root of 4004742612 is about 1588.0281731239.

The spelling of 4004742612 in words is "four billion, four million, seven hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 89 92 138 156 178 267 276 299 356 534 598 897 1068 1157 1196 1794 2047 2314 3471 3588 4094 4628 6141 6942 8188 12282 12541 13884 24564 25082 26611 37623 50164 53222 75246 79833 106444 150492 159666 163033 288443 319332 326066 489099 576886 652132 865329 978198 1116149 1153772 1730658 1956396 2232298 3348447 3461316 3749759 4464596 6696894 7499518 11249277 13393788 14509937 14999036 22498554 25671427 29019874 43529811 44997108 51342854 58039748 77014281 87059622 102685708 154028562 174119244 308057124 333728551 667457102 1001185653 1334914204 2002371306 4004742612