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424506640 = 24529672731
BaseRepresentation
bin11001010011010…
…111010100010000
31002120210011122011
4121103113110100
51332133203030
6110042352304
713343150455
oct3123272420
91076704564
10424506640
111a8694138
12ba1bb694
1369c4207c
144054382c
1527404b2a
hex194d7510

424506640 has 80 divisors (see below), whose sum is σ = 1036630080. Its totient is φ = 161441280.

The previous prime is 424506637. The next prime is 424506647. The reversal of 424506640 is 46605424.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (424506647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154075 + ... + 156805.

It is an arithmetic number, because the mean of its divisors is an integer number (12957876).

Almost surely, 2424506640 is an apocalyptic number.

424506640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518315040).

424506640 is an abundant number, since it is smaller than the sum of its proper divisors (612123440).

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

424506640 is a wasteful number, since it uses less digits than its factorization.

424506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 424506640 is about 20603.5589158766. The cubic root of 424506640 is about 751.5562588812.

The spelling of 424506640 in words is "four hundred twenty-four million, five hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2320 2680 2731 3886 5360 5462 7772 9715 10924 13655 15544 19430 21848 27310 31088 38860 43696 54620 77720 79199 109240 155440 158398 182977 218480 316796 365954 395995 633592 731908 791990 914885 1267184 1463816 1583980 1829770 2927632 3167960 3659540 5306333 6335920 7319080 10612666 14638160 21225332 26531665 42450664 53063330 84901328 106126660 212253320 424506640