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423948 = 22373103
BaseRepresentation
bin1100111100000001100
3210112112210
41213200030
5102031243
613030420
73414000
oct1474014
9715483
10423948
1126a578
12185410
1311ac75
14b0700
1585933
hex6780c

423948 has 48 divisors (see below), whose sum is σ = 1164800. Its totient is φ = 119952.

The previous prime is 423931. The next prime is 423949. The reversal of 423948 is 849324.

It is a happy number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423948.

It is not an unprimeable number, because it can be changed into a prime (423949) 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, 4065 + ... + 4167.

2423948 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 423948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582400).

423948 is an abundant number, since it is smaller than the sum of its proper divisors (740852).

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

423948 is a wasteful number, since it uses less digits than its factorization.

423948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 423948 is about 651.1128934371. The cubic root of 423948 is about 75.1226437818.

The spelling of 423948 in words is "four hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 343 412 588 618 686 721 1029 1236 1372 1442 2058 2163 2884 4116 4326 5047 8652 10094 15141 20188 30282 35329 60564 70658 105987 141316 211974 423948