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4002552340 = 2251877106621
BaseRepresentation
bin1110111010010010…
…0001101000010100
3101022221111201121021
43232210201220110
531144123133330
61501100330524
7201121063543
oct35644415024
911287451537
104002552340
1117743778a6
12938543a44
134ba306387
1429d81a15a
151865cb67a
hexee921a14

4002552340 has 24 divisors (see below), whose sum is σ = 8409916872. Its totient is φ = 1600152960.

The previous prime is 4002552313. The next prime is 4002552349. The reversal of 4002552340 is 432552004.

It can be written as a sum of positive squares in 4 ways, for example, as 959264784 + 3043287556 = 30972^2 + 55166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002552349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15771 + ... + 90850.

It is an arithmetic number, because the mean of its divisors is an integer number (350413203).

Almost surely, 24002552340 is an apocalyptic number.

It is an amenable number.

4002552340 is an abundant number, since it is smaller than the sum of its proper divisors (4407364532).

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

4002552340 is a wasteful number, since it uses less digits than its factorization.

4002552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108507 (or 108505 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4002552340 is about 63265.7280049791. The cubic root of 4002552340 is about 1587.7386124477.

The spelling of 4002552340 in words is "four billion, two million, five hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1877 3754 7508 9385 18770 37540 106621 213242 426484 533105 1066210 2132420 200127617 400255234 800510468 1000638085 2001276170 4002552340