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427605096 = 23359311971
BaseRepresentation
bin11001011111001…
…011110001101000
31002210121120220210
4121133023301220
51333431330341
6110233021120
713411404042
oct3137136150
91083546823
10427605096
111aa410046
12bb2547a0
136a788489
1440b0ca92
1527817c16
hex197cbc68

427605096 has 64 divisors (see below), whose sum is σ = 1091750400. Its totient is φ = 139524800.

The previous prime is 427605083. The next prime is 427605109. The reversal of 427605096 is 690506724.

It is an interprime number because it is at equal distance from previous prime (427605083) and next prime (427605109).

It is a super-2 number, since 2×4276050962 = 365692236250338432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439891 + ... + 440861.

It is an arithmetic number, because the mean of its divisors is an integer number (17058600).

Almost surely, 2427605096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427605096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545875200).

427605096 is an abundant number, since it is smaller than the sum of its proper divisors (664145304).

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

427605096 is a wasteful number, since it uses less digits than its factorization.

427605096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 427605096 is about 20678.6144603549. The cubic root of 427605096 is about 753.3803538319.

The spelling of 427605096 in words is "four hundred twenty-seven million, six hundred five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 311 354 472 622 708 933 971 1244 1416 1866 1942 2488 2913 3732 3884 5826 7464 7768 11652 18349 23304 36698 55047 57289 73396 110094 114578 146792 171867 220188 229156 301981 343734 440376 458312 603962 687468 905943 1207924 1374936 1811886 2415848 3623772 7247544 17816879 35633758 53450637 71267516 106901274 142535032 213802548 427605096