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4002125274 = 234721673019
BaseRepresentation
bin1110111010001011…
…1001010111011010
3101022220201000210000
43232202321113122
531144021002044
61501043233430
7201114334500
oct35642712732
911286630700
104002125274
111774105a54
12938378876
134ba1b6b84
1429d748670
15186544d69
hexee8b95da

4002125274 has 120 divisors (see below), whose sum is σ = 10497785760. Its totient is φ = 1136240784.

The previous prime is 4002125269. The next prime is 4002125293. The reversal of 4002125274 is 4725212004.

4002125274 is a `hidden beast` number, since 400 + 2 + 1 + 252 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1324137 + ... + 1327155.

It is an arithmetic number, because the mean of its divisors is an integer number (87481548).

Almost surely, 24002125274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002125274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248892880).

4002125274 is an abundant number, since it is smaller than the sum of its proper divisors (6495660486).

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

4002125274 is a wasteful number, since it uses less digits than its factorization.

4002125274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4002125274 is about 63262.3527384178. The cubic root of 4002125274 is about 1587.6821407068.

Adding to 4002125274 its reverse (4725212004), we get a palindrome (8727337278).

The spelling of 4002125274 in words is "four billion, two million, one hundred twenty-five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 167 189 294 334 378 441 501 567 882 1002 1134 1169 1323 1503 2338 2646 3006 3019 3507 3969 4509 6038 7014 7938 8183 9018 9057 10521 13527 16366 18114 21042 21133 24549 27054 27171 31563 42266 49098 54342 63126 63399 73647 81513 94689 126798 147294 147931 163026 189378 190197 220941 244539 295862 380394 441882 443793 489078 504173 570591 662823 887586 1008346 1141182 1325646 1331379 1512519 1711773 2662758 3025038 3423546 3529211 3994137 4537557 7058422 7988274 9075114 10587633 11982411 13612671 21175266 23964822 24704477 27225342 31762899 40838013 49408954 63525798 74113431 81676026 95288697 148226862 190577394 222340293 285866091 444680586 571732182 667020879 1334041758 2001062637 4002125274