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4298832 = 243431107
BaseRepresentation
bin10000011001100001010000
322002101220000
4100121201100
52100030312
6232050000
751353016
oct20314120
98071800
104298832
11247685a
121533900
13b768b5
147dc8b6
1559dadc
hex419850

4298832 has 100 divisors (see below), whose sum is σ = 12963456. Its totient is φ = 1373760.

The previous prime is 4298821. The next prime is 4298843. The reversal of 4298832 is 2388924.

It is an interprime number because it is at equal distance from previous prime (4298821) and next prime (4298843).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40123 + ... + 40229.

Almost surely, 24298832 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 4298832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

4298832 is an abundant number, since it is smaller than the sum of its proper divisors (8664624).

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

4298832 is a wasteful number, since it uses less digits than its factorization.

4298832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4298832 is about 2073.3624863974. The cubic root of 4298832 is about 162.5986083948.

It can be divided in two parts, 429 and 8832, that added together give a cube (9261 = 213).

The spelling of 4298832 in words is "four million, two hundred ninety-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 107 108 124 144 162 186 214 216 248 279 321 324 372 428 432 496 558 642 648 744 837 856 963 1116 1284 1296 1488 1674 1712 1926 2232 2511 2568 2889 3317 3348 3852 4464 5022 5136 5778 6634 6696 7704 8667 9951 10044 11556 13268 13392 15408 17334 19902 20088 23112 26536 29853 34668 39804 40176 46224 53072 59706 69336 79608 89559 119412 138672 159216 179118 238824 268677 358236 477648 537354 716472 1074708 1432944 2149416 4298832