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45146808 = 2334737269
BaseRepresentation
bin1010110000111…
…0001010111000
310010221200210000
42230032022320
543024144213
64251353000
71055512230
oct254161270
9103850700
1045146808
1123536513
1213152760
1394793b5
145dd2cc0
153e6bc73
hex2b0e2b8

45146808 has 160 divisors (see below), whose sum is σ = 148975200. Its totient is φ = 12503808.

The previous prime is 45146797. The next prime is 45146809. The reversal of 45146808 is 80864154.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45146809) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167698 + ... + 167966.

It is an arithmetic number, because the mean of its divisors is an integer number (931095).

Almost surely, 245146808 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 45146808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487600).

45146808 is an abundant number, since it is smaller than the sum of its proper divisors (103828392).

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

45146808 is a wasteful number, since it uses less digits than its factorization.

45146808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45146808 is about 6719.1374446427. The cubic root of 45146808 is about 356.0757108679.

It can be divided in two parts, 45146 and 808, that added together give a palindrome (45954).

The spelling of 45146808 in words is "forty-five million, one hundred forty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 84 108 111 126 148 162 168 189 216 222 252 259 269 296 324 333 378 444 504 518 538 567 648 666 756 777 807 888 999 1036 1076 1134 1332 1512 1554 1614 1883 1998 2072 2152 2268 2331 2421 2664 2997 3108 3228 3766 3996 4536 4662 4842 5649 5994 6216 6456 6993 7263 7532 7992 9324 9684 9953 11298 11988 13986 14526 15064 16947 18648 19368 19906 20979 21789 22596 23976 27972 29052 29859 33894 39812 41958 43578 45192 50841 55944 58104 59718 67788 69671 79624 83916 87156 89577 101682 119436 135576 139342 152523 167832 174312 179154 203364 209013 238872 268731 278684 305046 358308 406728 418026 537462 557368 610092 627039 716616 806193 836052 1074924 1220184 1254078 1612386 1672104 1881117 2149848 2508156 3224772 3762234 5016312 5643351 6449544 7524468 11286702 15048936 22573404 45146808