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4100052404 = 2272367167569
BaseRepresentation
bin1111010001100001…
…1101010110110100
3101120201222020112202
43310120131112310
531344103134104
61514502204032
7203413604360
oct36430352664
911521866482
104100052404
111814411068
12965123618
13504583016
142ac75a2a0
1518ee3a51e
hexf461d5b4

4100052404 has 96 divisors (see below), whose sum is σ = 8751697920. Its totient is φ = 1642874112.

The previous prime is 4100052377. The next prime is 4100052419. The reversal of 4100052404 is 4042500014.

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 31 ways as a sum of consecutive naturals, for example, 7205432 + ... + 7206000.

It is an arithmetic number, because the mean of its divisors is an integer number (91163520).

Almost surely, 24100052404 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 4100052404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960).

4100052404 is an abundant number, since it is smaller than the sum of its proper divisors (4651645516).

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

4100052404 is a wasteful number, since it uses less digits than its factorization.

4100052404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4100052404 is about 64031.6515795118. The cubic root of 4100052404 is about 1600.5274828529.

Adding to 4100052404 its reverse (4042500014), we get a palindrome (8142552418).

The spelling of 4100052404 in words is "four billion, one hundred million, fifty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 167 268 322 334 469 569 644 668 938 1138 1169 1541 1876 2276 2338 3082 3841 3983 4676 6164 7682 7966 10787 11189 13087 15364 15932 21574 22378 26174 26887 38123 43148 44756 52348 53774 76246 78323 91609 95023 107548 152492 156646 183218 190046 257347 266861 313292 366436 380092 514694 533722 665161 876829 1029388 1067444 1330322 1753658 1801429 2185529 2660644 3507316 3602858 4371058 6137803 6366541 7205716 8742116 12275606 12733082 15298703 24551212 25466164 30597406 44565787 61194812 89131574 146430443 178263148 292860886 585721772 1025013101 2050026202 4100052404