Search a number
-
+
42152600 = 2352730109
BaseRepresentation
bin1010000011001…
…1001010011000
32221022120111102
42200303022120
541242340400
64103250532
71021201610
oct240631230
987276442
1042152600
1121880966
1212149a48
13896b589
145853a40
153a799d5
hex2833298

42152600 has 48 divisors (see below), whose sum is σ = 112009200. Its totient is φ = 14451840.

The previous prime is 42152563. The next prime is 42152641. The reversal of 42152600 is 625124.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13655 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (2333525).

Almost surely, 242152600 is an apocalyptic number.

42152600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42152600 is an abundant number, since it is smaller than the sum of its proper divisors (69856600).

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

42152600 is a wasteful number, since it uses less digits than its factorization.

42152600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132 (or 30123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42152600 is about 6492.5033692714. The cubic root of 42152600 is about 348.0231411044.

Adding to 42152600 its reverse (625124), we get a palindrome (42777724).

The spelling of 42152600 in words is "forty-two million, one hundred fifty-two thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 30109 60218 120436 150545 210763 240872 301090 421526 602180 752725 843052 1053815 1204360 1505450 1686104 2107630 3010900 4215260 5269075 6021800 8430520 10538150 21076300 42152600