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3948230352 = 2431128326423
BaseRepresentation
bin1110101101010101…
…0011011011010000
3101012011021212211210
43223111103123100
531041221332402
61451440140120
7166561255443
oct35325233320
911164255753
103948230352
1117467449a0
12922307640
134abc969a1
1429651965a
1518194b06c
hexeb5536d0

3948230352 has 80 divisors (see below), whose sum is σ = 11166571008. Its totient is φ = 1192160640.

The previous prime is 3948230327. The next prime is 3948230417. The reversal of 3948230352 is 2530328493.

It is a self number, because there is not a number n which added to its sum of digits gives 3948230352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136213 + ... + 162635.

Almost surely, 23948230352 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 3948230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583285504).

3948230352 is an abundant number, since it is smaller than the sum of its proper divisors (7218340656).

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

3948230352 is a wasteful number, since it uses less digits than its factorization.

3948230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26728 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3948230352 is about 62834.9453091192. The cubic root of 3948230352 is about 1580.5230271851.

The spelling of 3948230352 in words is "three billion, nine hundred forty-eight million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 849 1132 1698 2264 3113 3396 4528 6226 6792 9339 12452 13584 18678 24904 26423 37356 49808 52846 74712 79269 105692 149424 158538 211384 290653 317076 422768 581306 634152 871959 1162612 1268304 1743918 2325224 3487836 4650448 6975672 7477709 13951344 14955418 22433127 29910836 44866254 59821672 82254799 89732508 119643344 164509598 179465016 246764397 329019196 358930032 493528794 658038392 987057588 1316076784 1974115176 3948230352