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42325002 = 23217157881
BaseRepresentation
bin1010000101110…
…1010000001010
32221122022222200
42201131100022
541313400002
64111101030
71022520336
oct241352012
987568880
1042325002
1121989445
1212211776
1389cbba5
14589a7c6
153ab0b1c
hex285d40a

42325002 has 48 divisors (see below), whose sum is σ = 97827912. Its totient is φ = 13178880.

The previous prime is 42324983. The next prime is 42325021. The reversal of 42325002 is 20052324.

It is an interprime number because it is at equal distance from previous prime (42324983) and next prime (42325021).

It can be written as a sum of positive squares in 4 ways, for example, as 31573161 + 10751841 = 5619^2 + 3279^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47602 + ... + 48482.

Almost surely, 242325002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42325002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48913956).

42325002 is an abundant number, since it is smaller than the sum of its proper divisors (55502910).

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

42325002 is a wasteful number, since it uses less digits than its factorization.

42325002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42325002 is about 6505.7668264394. The cubic root of 42325002 is about 348.4969613994.

Adding to 42325002 its reverse (20052324), we get a palindrome (62377326).

It can be divided in two parts, 423 and 25002, that added together give a triangular number (25425 = T225).

The spelling of 42325002 in words is "forty-two million, three hundred twenty-five thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 306 314 471 881 942 1413 1762 2643 2669 2826 5286 5338 7929 8007 14977 15858 16014 24021 29954 44931 48042 89862 134793 138317 269586 276634 414951 829902 1244853 2351389 2489706 4702778 7054167 14108334 21162501 42325002