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3954348882 = 234112976519
BaseRepresentation
bin1110101110110010…
…1001001101010010
3101012120210201220000
43223230221031102
531044303131012
61452215230430
7166664260641
oct35354511522
911176721800
103954348882
11174a143930
12924378416
134b0329913
1429726d358
15182258ddc
hexebb29352

3954348882 has 80 divisors (see below), whose sum is σ = 9999633600. Its totient is φ = 1156952160.

The previous prime is 3954348863. The next prime is 3954348883. The reversal of 3954348882 is 2888434593.

3954348882 is a `hidden beast` number, since 39 + 54 + 3 + 488 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3954348883) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13419 + ... + 89937.

It is an arithmetic number, because the mean of its divisors is an integer number (124995420).

Almost surely, 23954348882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954348882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999816800).

3954348882 is an abundant number, since it is smaller than the sum of its proper divisors (6045284718).

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

3954348882 is a wasteful number, since it uses less digits than its factorization.

3954348882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76573 (or 76564 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3954348882 is about 62883.6137797439. The cubic root of 3954348882 is about 1581.3390456356.

It can be divided in two parts, 3954 and 348882, that added together give a square (352836 = 5942).

The spelling of 3954348882 in words is "three billion, nine hundred fifty-four million, three hundred forty-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 522 594 638 783 891 957 1566 1782 1914 2349 2871 4698 5742 8613 17226 25839 51678 76519 153038 229557 459114 688671 841709 1377342 1683418 2066013 2219051 2525127 4132026 4438102 5050254 6198039 6657153 7575381 12396078 13314306 15150762 19971459 22726143 24409561 39942918 45452286 48819122 59914377 68178429 73228683 119828754 136356858 146457366 179743131 219686049 359486262 439372098 659058147 1318116294 1977174441 3954348882