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420425250 = 23537731097
BaseRepresentation
bin11001000011110…
…010111000100010
31002022002211000120
4121003302320202
51330112102000
6105415101110
713263361410
oct3103627042
91068084016
10420425250
111a6356793
12b8971796
136914344b
143dba02b0
1526d9a6a0
hex190f2e22

420425250 has 128 divisors (see below), whose sum is σ = 1216829952. Its totient is φ = 94694400.

The previous prime is 420425221. The next prime is 420425287. The reversal of 420425250 is 52524024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420425250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382702 + ... + 383798.

It is an arithmetic number, because the mean of its divisors is an integer number (9506484).

Almost surely, 2420425250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420425250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608414976).

420425250 is an abundant number, since it is smaller than the sum of its proper divisors (796404702).

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

420425250 is a wasteful number, since it uses less digits than its factorization.

420425250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 420425250 is about 20504.2739447170. The cubic root of 420425250 is about 749.1399029099.

Adding to 420425250 its reverse (52524024), we get a palindrome (472949274).

The spelling of 420425250 in words is "four hundred twenty million, four hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 125 146 150 175 210 219 250 350 365 375 438 511 525 730 750 875 1022 1050 1095 1097 1533 1750 1825 2190 2194 2555 2625 3066 3291 3650 5110 5250 5475 5485 6582 7665 7679 9125 10950 10970 12775 15330 15358 16455 18250 23037 25550 27375 27425 32910 38325 38395 46074 54750 54850 63875 76650 76790 80081 82275 115185 127750 137125 160162 164550 191625 191975 230370 240243 274250 383250 383950 400405 411375 480486 560567 575925 800810 822750 959875 1121134 1151850 1201215 1681701 1919750 2002025 2402430 2802835 2879625 3363402 4004050 5605670 5759250 6006075 8408505 10010125 12012150 14014175 16817010 20020250 28028350 30030375 42042525 60060750 70070875 84085050 140141750 210212625 420425250