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45709272 = 233573359
BaseRepresentation
bin1010111001011…
…1011111011000
310012000021100000
42232113133120
543200144042
64311413000
71063344120
oct256273730
9105007300
1045709272
1123890064
1213384160
13961540b
1460dbc80
15402d74c
hex2b977d8

45709272 has 96 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 13055904.

The previous prime is 45709253. The next prime is 45709289. The reversal of 45709272 is 27290754.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11929 + ... + 15287.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 245709272 is an apocalyptic number.

45709272 is a gapful number since it is divisible by the number (42) 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 45709272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

45709272 is an abundant number, since it is smaller than the sum of its proper divisors (101055528).

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

45709272 is a wasteful number, since it uses less digits than its factorization.

45709272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45709272 is about 6760.8632584900. The cubic root of 45709272 is about 357.5483417114.

The spelling of 45709272 in words is "forty-five million, seven hundred nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3359 3402 4536 6718 6804 10077 13436 13608 20154 23513 26872 30231 40308 47026 60462 70539 80616 90693 94052 120924 141078 181386 188104 211617 241848 272079 282156 362772 423234 544158 564312 634851 725544 816237 846468 1088316 1269702 1632474 1692936 1904553 2176632 2539404 3264948 3809106 5078808 5713659 6529896 7618212 11427318 15236424 22854636 45709272