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424149768 = 233271944293
BaseRepresentation
bin11001010010000…
…000001100001000
31002120010001002200
4121102000030020
51332040243033
6110031000200
713340133150
oct3122001410
91076101080
10424149768
111a846aaa9
12ba069060
1369b487c3
144048d760
1527384013
hex19480308

424149768 has 96 divisors (see below), whose sum is σ = 1381972800. Its totient is φ = 114804864.

The previous prime is 424149767. The next prime is 424149793. The reversal of 424149768 is 867941424.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (424149763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12571 + ... + 31722.

It is an arithmetic number, because the mean of its divisors is an integer number (14395550).

Almost surely, 2424149768 is an apocalyptic number.

It is an amenable number.

424149768 is an abundant number, since it is smaller than the sum of its proper divisors (957823032).

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

424149768 is a wasteful number, since it uses less digits than its factorization.

424149768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44331 (or 44324 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 424149768 is about 20594.8966494129. The cubic root of 424149768 is about 751.3455950548.

The spelling of 424149768 in words is "four hundred twenty-four million, one hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 44293 88586 132879 177172 265758 310051 354344 398637 531516 620102 797274 841567 930153 1063032 1240204 1594548 1683134 1860306 2480408 2524701 2790459 3189096 3366268 3720612 5049402 5580918 5890969 6732536 7441224 7574103 10098804 11161836 11781938 15148206 17672907 20197608 22323672 23563876 30296412 35345814 47127752 53018721 60592824 70691628 106037442 141383256 212074884 424149768