Search a number
-
+
4033132974 = 2321359614789
BaseRepresentation
bin1111000001100100…
…1011100110101110
3101102002001101100100
43300121023212232
531224440223344
61504112011530
7201642031113
oct36031134656
911362041310
104033132974
11178a664552
12946830ba6
134c3752720
142a38da90a
1518911c569
hexf064b9ae

4033132974 has 96 divisors (see below), whose sum is σ = 9729064800. Its totient is φ = 1199681280.

The previous prime is 4033132973. The next prime is 4033133003. The reversal of 4033132974 is 4792313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033132973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 839772 + ... + 844560.

It is an arithmetic number, because the mean of its divisors is an integer number (101344425).

Almost surely, 24033132974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033132974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864532400).

4033132974 is an abundant number, since it is smaller than the sum of its proper divisors (5695931826).

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

4033132974 is a wasteful number, since it uses less digits than its factorization.

4033132974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4033132974 is about 63506.9521706088. The cubic root of 4033132974 is about 1591.7719488387.

The spelling of 4033132974 in words is "four billion, thirty-three million, one hundred thirty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 61 78 117 118 122 177 183 234 354 366 531 549 767 793 1062 1098 1534 1586 2301 2379 3599 4602 4758 4789 6903 7137 7198 9578 10797 13806 14274 14367 21594 28734 32391 43101 46787 62257 64782 86202 93574 124514 140361 186771 280722 282551 292129 373542 421083 560313 565102 584258 842166 847653 876387 1120626 1695306 1752774 2542959 2629161 3673163 3797677 5085918 5258322 7346326 7595354 11019489 11393031 17235611 22038978 22786062 33058467 34179093 34471222 51706833 66116934 68358186 103413666 155120499 224062943 310240998 448125886 672188829 1344377658 2016566487 4033132974