Search a number
-
+
4062106752 = 273111756569
BaseRepresentation
bin1111001000011110…
…1101010010000000
3101111002120101220020
43302013231102000
531304344404002
61511025013440
7202443223554
oct36207552200
911432511806
104062106752
1117a4a53a20
12954484280
134c9758582
142a76bd864
1518b9422bc
hexf21ed480

4062106752 has 128 divisors (see below), whose sum is σ = 12463502400. Its totient is φ = 1158512640.

The previous prime is 4062106721. The next prime is 4062106781. The reversal of 4062106752 is 2576012604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40621067522 = 33001422529287979008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 43524 + ... + 100092.

Almost surely, 24062106752 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 4062106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231751200).

4062106752 is an abundant number, since it is smaller than the sum of its proper divisors (8401395648).

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

4062106752 is a wasteful number, since it uses less digits than its factorization.

4062106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56614 (or 56602 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4062106752 is about 63734.6589541358. The cubic root of 4062106752 is about 1595.5745877808.

The spelling of 4062106752 in words is "four billion, sixty-two million, one hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 56569 71808 113138 169707 226276 339414 452552 622259 678828 905104 961673 1244518 1357656 1810208 1866777 1923346 2489036 2715312 2885019 3620416 3733554 3846692 4978072 5430624 5770038 7240832 7467108 7693384 9956144 10578403 10861248 11540076 14934216 15386768 19912288 21156806 21722496 23080152 29868432 30773536 31735209 39824576 42313612 46160304 59736864 61547072 63470418 79649152 84627224 92320608 119473728 123094144 126940836 169254448 184641216 238947456 253881672 338508896 369282432 507763344 677017792 1015526688 1354035584 2031053376 4062106752