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45270576 = 2434132687
BaseRepresentation
bin1010110010110…
…0011000110000
310011011222120000
42230230120300
543042124301
64254150000
71056536121
oct254543060
9104158500
1045270576
11236104aa
12131b2300
1394c0830
146026048
153e93786
hex2b2c630

45270576 has 100 divisors (see below), whose sum is σ = 141157632. Its totient is φ = 13924224.

The previous prime is 45270557. The next prime is 45270581. The reversal of 45270576 is 67507254.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45270576.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15505 + ... + 18191.

Almost surely, 245270576 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 45270576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70578816).

45270576 is an abundant number, since it is smaller than the sum of its proper divisors (95887056).

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

45270576 is a wasteful number, since it uses less digits than its factorization.

45270576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45270576 is about 6728.3412517499. The cubic root of 45270576 is about 356.4008026374.

The spelling of 45270576 in words is "forty-five million, two hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2687 2808 4212 5374 5616 8061 8424 10748 16122 16848 21496 24183 32244 34931 42992 48366 64488 69862 72549 96732 104793 128976 139724 145098 193464 209586 217647 279448 290196 314379 386928 419172 435294 558896 580392 628758 838344 870588 943137 1160784 1257516 1676688 1741176 1886274 2515032 2829411 3482352 3772548 5030064 5658822 7545096 11317644 15090192 22635288 45270576