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4001210052 = 2237231227967
BaseRepresentation
bin1110111001111101…
…1001111011000100
3101022211222112022220
43232133121323010
531143302210202
61501011452340
7201103503300
oct35637317304
911284875286
104001210052
111773640374
12937bb70b0
134b9c56418
1429d58ad00
15186413abc
hexee7d9ec4

4001210052 has 144 divisors (see below), whose sum is σ = 11271794688. Its totient is φ = 1100312640.

The previous prime is 4001210047. The next prime is 4001210077. The reversal of 4001210052 is 2500121004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137273 + ... + 4138239.

It is an arithmetic number, because the mean of its divisors is an integer number (78276352).

Almost surely, 24001210052 is an apocalyptic number.

4001210052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001210052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635897344).

4001210052 is an abundant number, since it is smaller than the sum of its proper divisors (7270584636).

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

4001210052 is a wasteful number, since it uses less digits than its factorization.

4001210052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4001210052 is about 63255.1187810125. The cubic root of 4001210052 is about 1587.5611056480.

Adding to 4001210052 its reverse (2500121004), we get a palindrome (6501331056).

The spelling of 4001210052 in words is "four billion, one million, two hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 227 294 372 434 454 588 651 681 868 908 967 1302 1362 1519 1589 1934 2604 2724 2901 3038 3178 3868 4557 4767 5802 6076 6356 6769 7037 9114 9534 11123 11604 13538 14074 18228 19068 20307 21111 22246 27076 28148 29977 33369 40614 42222 44492 47383 49259 59954 66738 81228 84444 89931 94766 98518 119908 133476 142149 147777 179862 189532 197036 209839 219509 284298 295554 344813 359724 419678 439018 568596 591108 629517 658527 689626 839356 878036 1034439 1259034 1317054 1379252 1468873 1536563 2068878 2518068 2634108 2937746 3073126 4137756 4406619 4609689 5875492 6146252 6804779 8813238 9219378 10755941 13609558 17626476 18438756 20414337 21511882 27219116 32267823 40828674 43023764 47633453 64535646 81657348 95266906 129071292 142900359 190533812 285800718 333434171 571601436 666868342 1000302513 1333736684 2000605026 4001210052