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427436268 = 223715732411
BaseRepresentation
bin11001011110100…
…010100011101100
31002210022000022220
4121132202203230
51333410430033
6110225235340
713410101610
oct3136424354
91083260286
10427436268
111aa305216
12bb192b50
136a72968c
1440aa7340
15277d2bb3
hex197a28ec

427436268 has 48 divisors (see below), whose sum is σ = 1147125504. Its totient is φ = 121343040.

The previous prime is 427436263. The next prime is 427436291. The reversal of 427436268 is 862634724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (427436263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018 + ... + 29393.

It is an arithmetic number, because the mean of its divisors is an integer number (23898448).

Almost surely, 2427436268 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 427436268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573562752).

427436268 is an abundant number, since it is smaller than the sum of its proper divisors (719689236).

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

427436268 is a wasteful number, since it uses less digits than its factorization.

427436268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32582 (or 32580 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 427436268 is about 20674.5318689445. The cubic root of 427436268 is about 753.2811903416.

The spelling of 427436268 in words is "four hundred twenty-seven million, four hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 3297 4396 6594 13188 32411 64822 97233 129644 194466 226877 388932 453754 680631 907508 1361262 2722524 5088527 10177054 15265581 20354108 30531162 35619689 61062324 71239378 106859067 142478756 213718134 427436268