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4392101712 = 2431923415107
BaseRepresentation
bin1000001011100101…
…00010011101010000
3102100002111212212210
410011302202131100
532443334223322
62003453552120
7213561151155
oct40562423520
912302455783
104392101712
111954255029
12a26aa5640
1354cc28c6b
142d946022c
151aa8c870c
hex105ca2750

4392101712 has 160 divisors (see below), whose sum is σ = 12769182720. Its totient is φ = 1294064640.

The previous prime is 4392101711. The next prime is 4392101767. The reversal of 4392101712 is 2171012934.

It is a self number, because there is not a number n which added to its sum of digits gives 4392101712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4392101711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857463 + ... + 862569.

It is an arithmetic number, because the mean of its divisors is an integer number (79807392).

Almost surely, 24392101712 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 4392101712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384591360).

4392101712 is an abundant number, since it is smaller than the sum of its proper divisors (8377081008).

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

4392101712 is a wasteful number, since it uses less digits than its factorization.

4392101712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 4392101712 is about 66272.9334796642. The cubic root of 4392101712 is about 1637.6614637281.

The spelling of 4392101712 in words is "four billion, three hundred ninety-two million, one hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 41 46 48 57 69 76 82 92 114 123 138 152 164 184 228 246 276 304 328 368 437 456 492 552 656 779 874 912 943 984 1104 1311 1558 1748 1886 1968 2337 2622 2829 3116 3496 3772 4674 5107 5244 5658 6232 6992 7544 9348 10214 10488 11316 12464 15088 15321 17917 18696 20428 20976 22632 30642 35834 37392 40856 45264 53751 61284 71668 81712 97033 107502 117461 122568 143336 194066 209387 215004 234922 245136 286672 291099 352383 388132 418774 430008 469844 582198 628161 704766 776264 837548 860016 939688 1164396 1256322 1409532 1552528 1675096 1879376 2231759 2328792 2512644 2819064 3350192 3978353 4463518 4657584 4815901 5025288 5638128 6695277 7956706 8927036 9631802 10050576 11935059 13390554 14447703 15913412 17854072 19263604 23870118 26781108 28895406 31826824 35708144 38527208 47740236 53562216 57790812 63653648 77054416 91502119 95480472 107124432 115581624 183004238 190960944 231163248 274506357 366008476 549012714 732016952 1098025428 1464033904 2196050856 4392101712