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424152 = 233243137
BaseRepresentation
bin1100111100011011000
3210112211100
41213203120
5102033102
613031400
73414411
oct1474330
9715740
10424152
1126a743
12185560
1311b0a1
14b0808
1585a1c
hex678d8

424152 has 48 divisors (see below), whose sum is σ = 1184040. Its totient is φ = 137088.

The previous prime is 424147. The next prime is 424157. The reversal of 424152 is 251424.

It is an interprime number because it is at equal distance from previous prime (424147) and next prime (424157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028 + ... + 3164.

2424152 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 424152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592020).

424152 is an abundant number, since it is smaller than the sum of its proper divisors (759888).

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

424152 is a wasteful number, since it uses less digits than its factorization.

424152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 424152 is about 651.2695294577. The cubic root of 424152 is about 75.1346912986.

Adding to 424152 its reverse (251424), we get a palindrome (675576).

It can be divided in two parts, 424 and 152, that added together give a square (576 = 242).

The spelling of 424152 in words is "four hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 137 172 258 274 344 387 411 516 548 774 822 1032 1096 1233 1548 1644 2466 3096 3288 4932 5891 9864 11782 17673 23564 35346 47128 53019 70692 106038 141384 212076 424152