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424462368 = 25311401953
BaseRepresentation
bin11001010011001…
…100100000100000
31002120200220220110
4121103030200200
51332130243433
6110041411320
713342604421
oct3123144040
91076626813
10424462368
111a8663950
12ba199b40
1369c27b85
1440531648
15273e6963
hex194cc820

424462368 has 48 divisors (see below), whose sum is σ = 1215508896. Its totient is φ = 128624640.

The previous prime is 424462351. The next prime is 424462393. The reversal of 424462368 is 863264424.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199921 + ... + 202032.

It is an arithmetic number, because the mean of its divisors is an integer number (25323102).

Almost surely, 2424462368 is an apocalyptic number.

424462368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424462368 is an abundant number, since it is smaller than the sum of its proper divisors (791046528).

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

424462368 is a wasteful number, since it uses less digits than its factorization.

424462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401977 (or 401969 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 424462368 is about 20602.4845103691. The cubic root of 424462368 is about 751.5301312526.

The spelling of 424462368 in words is "four hundred twenty-four million, four hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 401953 803906 1205859 1607812 2411718 3215624 4421483 4823436 6431248 8842966 9646872 12862496 13264449 17685932 19293744 26528898 35371864 38587488 53057796 70743728 106115592 141487456 212231184 424462368