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4002342500 = 22541329473
BaseRepresentation
bin1110111010001110…
…1110011001100100
3101022221010001202102
43232203232121210
531144044430000
61501052031232
7201116231012
oct35643563144
911287101672
104002342500
111774244182
12938462518
134ba261a00
1429d7a38b2
151865893d5
hexee8ee664

4002342500 has 90 divisors (see below), whose sum is σ = 9478367514. Its totient is φ = 1477632000.

The previous prime is 4002342479. The next prime is 4002342527. The reversal of 4002342500 is 52432004.

It can be written as a sum of positive squares in 15 ways, for example, as 3999044644 + 3297856 = 63238^2 + 1816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 417764 + ... + 427236.

Almost surely, 24002342500 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 4002342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739183757).

4002342500 is an abundant number, since it is smaller than the sum of its proper divisors (5476025014).

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

4002342500 is a wasteful number, since it uses less digits than its factorization.

4002342500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4002342500 is about 63264.0695813983. The cubic root of 4002342500 is about 1587.7108654116.

Adding to 4002342500 its reverse (52432004), we get a palindrome (4054774504).

The spelling of 4002342500 in words is "four billion, two million, three hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 625 650 676 845 1250 1300 1625 1690 2500 3250 3380 4225 6500 8125 8450 9473 16250 16900 18946 21125 32500 37892 42250 47365 84500 94730 105625 123149 189460 211250 236825 246298 422500 473650 492596 615745 947300 1184125 1231490 1600937 2368250 2462980 3078725 3201874 4736500 5920625 6157450 6403748 8004685 11841250 12314900 15393625 16009370 23682500 30787250 32018740 40023425 61574500 76968125 80046850 153936250 160093700 200117125 307872500 400234250 800468500 1000585625 2001171250 4002342500