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4382960706 = 234172179523
BaseRepresentation
bin1000001010011111…
…01010110001000010
3102022110022110210000
410011033222301002
532434014220311
62002530020430
7213420360045
oct40517526102
912273273700
104382960706
11194a081283
12a23a17716
1354b078397
142d8160c5c
151a9bc0056
hex1053eac42

4382960706 has 120 divisors (see below), whose sum is σ = 10511115120. Its totient is φ = 1364750208.

The previous prime is 4382960683. The next prime is 4382960737. The reversal of 4382960706 is 6070692834.

4382960706 is a `hidden beast` number, since 4 + 38 + 2 + 9 + 607 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8380161 + ... + 8380683.

It is an arithmetic number, because the mean of its divisors is an integer number (87592626).

Almost surely, 24382960706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4382960706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255557560).

4382960706 is an abundant number, since it is smaller than the sum of its proper divisors (6128154414).

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

4382960706 is a wasteful number, since it uses less digits than its factorization.

4382960706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4382960706 is about 66203.9327079593. The cubic root of 4382960706 is about 1636.5245539175.

The spelling of 4382960706 in words is "four billion, three hundred eighty-two million, nine hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 179 289 306 358 459 523 537 578 867 918 1046 1074 1377 1569 1611 1734 2601 2754 3043 3138 3222 4707 4833 5202 6086 7803 8891 9129 9414 9666 14121 14499 15606 17782 18258 23409 26673 27387 28242 28998 42363 46818 51731 53346 54774 80019 82161 84726 93617 103462 151147 155193 160038 164322 187234 240057 246483 280851 302294 310386 453441 465579 480114 492966 561702 720171 842553 906882 931158 1360323 1396737 1440342 1591489 1685106 2527659 2720646 2793474 3182978 4080969 4190211 4774467 5055318 7582977 8161938 8380422 9548934 12242907 14323401 15165954 24485814 27055313 28646802 42970203 54110626 81165939 85940406 128910609 162331878 243497817 257821218 486995634 730493451 1460986902 2191480353 4382960706