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4006125552 = 24311134091427
BaseRepresentation
bin1110111011001000…
…1001111111110000
3101100012020021010110
43232302021333300
531201032004202
61501305101320
7201163335222
oct35662117760
911305207113
104006125552
111776398470
12939787840
134bac878c0
142a00aa412
15186a8526c
hexeec89ff0

4006125552 has 160 divisors (see below), whose sum is σ = 12196719360. Its totient is φ = 1117071360.

The previous prime is 4006125527. The next prime is 4006125553. The reversal of 4006125552 is 2555216004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006125553) 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 31 ways as a sum of consecutive naturals, for example, 2806663 + ... + 2808089.

It is an arithmetic number, because the mean of its divisors is an integer number (76229496).

Almost surely, 24006125552 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 4006125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098359680).

4006125552 is an abundant number, since it is smaller than the sum of its proper divisors (8190593808).

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

4006125552 is a wasteful number, since it uses less digits than its factorization.

4006125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4006125552 is about 63293.9614181321. The cubic root of 4006125552 is about 1588.2109476613.

The spelling of 4006125552 in words is "four billion, six million, one hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 409 429 528 572 624 818 858 1144 1227 1427 1636 1716 2288 2454 2854 3272 3432 4281 4499 4908 5317 5708 6544 6864 8562 8998 9816 10634 11416 13497 15697 15951 17124 17996 18551 19632 21268 22832 26994 31394 31902 34248 35992 37102 42536 47091 53988 55653 58487 62788 63804 68496 71984 74204 85072 94182 107976 111306 116974 125576 127608 148408 175461 188364 204061 215952 222612 233948 251152 255216 296816 350922 376728 408122 445224 467896 583643 612183 701844 753456 816244 890448 935792 1167286 1224366 1403688 1632488 1750929 2334572 2448732 2807376 3264976 3501858 4669144 4897464 6420073 7003716 7587359 9338288 9794928 12840146 14007432 15174718 19260219 22762077 25680292 28014864 30349436 38520438 45524154 51360584 60698872 77040876 83460949 91048308 102721168 121397744 154081752 166921898 182096616 250382847 308163504 333843796 364193232 500765694 667687592 1001531388 1335375184 2003062776 4006125552