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4202433132 = 223233107269
BaseRepresentation
bin1111101001111100…
…0000101001101100
3101211212121201111120
43322133000221230
532101310330012
61533000420540
7206066043432
oct37237005154
911755551446
104202433132
111867189237
12993477750
1351c84b331
142bc1aad52
15198e1058c
hexfa7c0a6c

4202433132 has 96 divisors (see below), whose sum is σ = 10385625600. Its totient is φ = 1322449216.

The previous prime is 4202433119. The next prime is 4202433163. The reversal of 4202433132 is 2313342024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15622294 + ... + 15622562.

It is an arithmetic number, because the mean of its divisors is an integer number (108183600).

Almost surely, 24202433132 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 4202433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192812800).

4202433132 is an abundant number, since it is smaller than the sum of its proper divisors (6183192468).

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

4202433132 is a wasteful number, since it uses less digits than its factorization.

4202433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4202433132 is about 64826.1762870524. The cubic root of 4202433132 is about 1613.7401481706.

Adding to 4202433132 its reverse (2313342024), we get a palindrome (6515775156).

The spelling of 4202433132 in words is "four billion, two hundred two million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 269 276 321 428 529 538 642 807 1058 1076 1284 1587 1614 2116 2461 3174 3228 4922 6187 6348 7383 9844 12167 12374 14766 18561 24334 24748 28783 29532 36501 37122 48668 56603 57566 73002 74244 86349 113206 115132 142301 146004 169809 172698 226412 284602 339618 345396 426903 569204 662009 679236 853806 1301869 1324018 1707612 1986027 2603738 2648036 3272923 3905607 3972054 5207476 6545846 7811214 7944108 9818769 13091692 15226207 15622428 19637538 30452414 39275076 45678621 60904828 91357242 182714484 350202761 700405522 1050608283 1400811044 2101216566 4202433132