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4164440088 = 2331728336067
BaseRepresentation
bin1111100000111000…
…0101000000011000
3101202020010110211210
43320032011000120
532012044040323
61525122223120
7205125104514
oct37016050030
911666113753
104164440088
111847799526
129827b4aa0
13514a08143
142b711b144
15195908293
hexf8385018

4164440088 has 64 divisors (see below), whose sum is σ = 11062776960. Its totient is φ = 1301838336.

The previous prime is 4164440051. The next prime is 4164440131. The reversal of 4164440088 is 8800444614.

It is a super-2 number, since 2×41644400882 = 34685122493082895488, which contains 22 as substring.

It is a congruent number.

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, 97431 + ... + 133497.

It is an arithmetic number, because the mean of its divisors is an integer number (172855890).

Almost surely, 24164440088 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 4164440088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531388480).

4164440088 is an abundant number, since it is smaller than the sum of its proper divisors (6898336872).

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

4164440088 is a wasteful number, since it uses less digits than its factorization.

4164440088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36376 (or 36372 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4164440088 is about 64532.4731278757. The cubic root of 4164440088 is about 1608.8622915287.

The spelling of 4164440088 in words is "four billion, one hundred sixty-four million, four hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 283 408 566 849 1132 1698 2264 3396 4811 6792 9622 14433 19244 28866 36067 38488 57732 72134 108201 115464 144268 216402 288536 432804 613139 865608 1226278 1839417 2452556 3678834 4905112 7357668 10206961 14715336 20413922 30620883 40827844 61241766 81655688 122483532 173518337 244967064 347036674 520555011 694073348 1041110022 1388146696 2082220044 4164440088