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4132010532 = 22313731272857
BaseRepresentation
bin1111011001001001…
…0111101000100100
3101122222002212212010
43312102113220210
531430243314112
61522003154220
7204252336636
oct36622275044
911588085763
104132010532
111830459741
12973975970
1350b092360
142b2ab8a56
15192b4e63c
hexf6497a24

4132010532 has 96 divisors (see below), whose sum is σ = 10611822592. Its totient is φ = 1243662336.

The previous prime is 4132010489. The next prime is 4132010569. The reversal of 4132010532 is 2350102314.

4132010532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41320105322 = 34147022073117846048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4132010499 and 4132010508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444848 + ... + 1447704.

Almost surely, 24132010532 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 4132010532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305911296).

4132010532 is an abundant number, since it is smaller than the sum of its proper divisors (6479812060).

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

4132010532 is a wasteful number, since it uses less digits than its factorization.

4132010532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4132010532 is about 64280.7166419292. The cubic root of 4132010532 is about 1604.6751971308.

Adding to 4132010532 its reverse (2350102314), we get a palindrome (6482112846).

The spelling of 4132010532 in words is "four billion, one hundred thirty-two million, ten thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 127 146 156 219 254 292 381 438 508 762 876 949 1524 1651 1898 2847 2857 3302 3796 4953 5694 5714 6604 8571 9271 9906 11388 11428 17142 18542 19812 27813 34284 37084 37141 55626 74282 111252 111423 120523 148564 208561 222846 241046 361569 362839 417122 445692 482092 625683 723138 725678 834244 1088517 1251366 1446276 1451356 2177034 2502732 2711293 4354068 4716907 5422586 8133879 9433814 10845172 14150721 16267758 18867628 26487247 28301442 32535516 52974494 56602884 79461741 105948988 158923482 317846964 344334211 688668422 1033002633 1377336844 2066005266 4132010532