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45847380 = 223519131307
BaseRepresentation
bin1010111011100…
…1001101010100
310012021021210010
42232321031110
543214104010
64314400220
71064460555
oct256711524
9105237703
1045847380
11239748a7
1213430070
139663237
14613632c
154059620
hex2bb9354

45847380 has 96 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 11456640.

The previous prime is 45847379. The next prime is 45847387. The reversal of 45847380 is 8374854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45847387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149187 + ... + 149493.

It is an arithmetic number, because the mean of its divisors is an integer number (1422960).

Almost surely, 245847380 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 45847380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

45847380 is an abundant number, since it is smaller than the sum of its proper divisors (90756780).

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

45847380 is a wasteful number, since it uses less digits than its factorization.

45847380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 45847380 is about 6771.0693394766. The cubic root of 45847380 is about 357.9080837234.

The spelling of 45847380 in words is "forty-five million, eight hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 307 380 393 524 570 614 655 786 921 1140 1228 1310 1535 1572 1842 1965 2489 2620 3070 3684 3930 4605 4978 5833 6140 7467 7860 9210 9956 11666 12445 14934 17499 18420 23332 24890 29165 29868 34998 37335 40217 49780 58330 69996 74670 80434 87495 116660 120651 149340 160868 174990 201085 241302 349980 402170 482604 603255 764123 804340 1206510 1528246 2292369 2413020 3056492 3820615 4584738 7641230 9169476 11461845 15282460 22923690 45847380