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45795840 = 29356789
BaseRepresentation
bin1010111010110…
…0101000000000
310012011200002020
42232230220000
543210431330
64313321440
71064154366
oct256545000
9105150066
1045795840
112393a102
1213406280
13964593c
146121636
154049210
hex2baca00

45795840 has 160 divisors (see below), whose sum is σ = 150258240. Its totient is φ = 11894784.

The previous prime is 45795809. The next prime is 45795847. The reversal of 45795840 is 4859754.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×457958402 = 4194517922611200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45795792 and 45795801.

It is not an unprimeable number, because it can be changed into a prime (45795847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514516 + ... + 514604.

It is an arithmetic number, because the mean of its divisors is an integer number (939114).

Almost surely, 245795840 is an apocalyptic number.

45795840 is a gapful number since it is divisible by the number (40) 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 45795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

45795840 is an abundant number, since it is smaller than the sum of its proper divisors (104462400).

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

45795840 is an equidigital number, since it uses as much as digits as its factorization.

45795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 45795840 is about 6767.2623711513. The cubic root of 45795840 is about 357.7739175741.

The spelling of 45795840 in words is "forty-five million, seven hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 89 96 120 128 134 160 178 192 201 240 256 267 268 320 335 356 384 402 445 480 512 534 536 640 670 712 768 804 890 960 1005 1068 1072 1280 1335 1340 1424 1536 1608 1780 1920 2010 2136 2144 2560 2670 2680 2848 3216 3560 3840 4020 4272 4288 5340 5360 5696 5963 6432 7120 7680 8040 8544 8576 10680 10720 11392 11926 12864 14240 16080 17088 17152 17889 21360 21440 22784 23852 25728 28480 29815 32160 34176 34304 35778 42720 42880 45568 47704 51456 56960 59630 64320 68352 71556 85440 85760 89445 95408 102912 113920 119260 128640 136704 143112 170880 171520 178890 190816 227840 238520 257280 286224 341760 357780 381632 477040 514560 572448 683520 715560 763264 954080 1144896 1431120 1526528 1908160 2289792 2862240 3053056 3816320 4579584 5724480 7632640 9159168 11448960 15265280 22897920 45795840