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45808632 = 23332971103
BaseRepresentation
bin1010111010111…
…1101111111000
310012012022122000
42232233233320
543211334012
64313501000
71064236602
oct256575770
9105168560
1045808632
1123948781
1213411760
13964b6cc
146126172
15404cddc
hex2bafbf8

45808632 has 128 divisors (see below), whose sum is σ = 134784000. Its totient is φ = 14394240.

The previous prime is 45808619. The next prime is 45808643. The reversal of 45808632 is 23680854.

It is a super-2 number, since 2×458086322 = 4196861531422848, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 444693 + ... + 444795.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 245808632 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 45808632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392000).

45808632 is an abundant number, since it is smaller than the sum of its proper divisors (88975368).

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

45808632 is a wasteful number, since it uses less digits than its factorization.

45808632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45808632 is about 6768.2074436294. The cubic root of 45808632 is about 357.8072264066.

The spelling of 45808632 in words is "forty-five million, eight hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 71 72 87 103 108 116 142 174 206 213 216 232 261 284 309 348 412 426 522 568 618 639 696 783 824 852 927 1044 1236 1278 1566 1704 1854 1917 2059 2088 2472 2556 2781 2987 3132 3708 3834 4118 5112 5562 5974 6177 6264 7313 7416 7668 8236 8961 11124 11948 12354 14626 15336 16472 17922 18531 21939 22248 23896 24708 26883 29252 35844 37062 43878 49416 53766 55593 58504 65817 71688 74124 80649 87756 107532 111186 131634 148248 161298 175512 197451 212077 215064 222372 263268 322596 394902 424154 444744 526536 636231 645192 789804 848308 1272462 1579608 1696616 1908693 2544924 3817386 5089848 5726079 7634772 11452158 15269544 22904316 45808632