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4202484 = 22311133179
BaseRepresentation
bin10000000001111111110100
321220111201120
4100001333310
52033434414
6230023540
750502066
oct20017764
97814646
104202484
112410430
1214a7bb0
13b41aa0
147b5736
155802a9
hex401ff4

4202484 has 96 divisors (see below), whose sum is σ = 12042240. Its totient is φ = 1123200.

The previous prime is 4202483. The next prime is 4202489. The reversal of 4202484 is 4842024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53157 + ... + 53235.

It is an arithmetic number, because the mean of its divisors is an integer number (125440).

Almost surely, 24202484 is an apocalyptic number.

4202484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021120).

4202484 is an abundant number, since it is smaller than the sum of its proper divisors (7839756).

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

4202484 is a wasteful number, since it uses less digits than its factorization.

4202484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4202484 is about 2049.9960975573. The cubic root of 4202484 is about 161.3746659272.

The spelling of 4202484 in words is "four million, two hundred two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 79 93 124 132 143 156 158 186 237 286 316 341 372 403 429 474 572 682 806 858 869 948 1023 1027 1209 1364 1612 1716 1738 2046 2054 2418 2449 2607 3081 3476 4092 4108 4433 4836 4898 5214 6162 7347 8866 9796 10428 11297 12324 13299 14694 17732 22594 26598 26939 29388 31837 33891 45188 53196 53878 63674 67782 80817 95511 107756 127348 135564 161634 191022 323268 350207 382044 700414 1050621 1400828 2101242 4202484