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45698640 = 24351397151
BaseRepresentation
bin1010111001010…
…0111001010000
310011222201202020
42232110321100
543144324030
64311251440
71063301121
oct256247120
9104881666
1045698640
1123883079
1213379b80
139610620
1460d8048
15402a510
hex2b94e50

45698640 has 160 divisors (see below), whose sum is σ = 155156736. Its totient is φ = 11059200.

The previous prime is 45698633. The next prime is 45698647. The reversal of 45698640 is 4689654.

It is an interprime number because it is at equal distance from previous prime (45698633) and next prime (45698647).

It is a junction number, because it is equal to n+sod(n) for n = 45698592 and 45698601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45698647) 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, 302565 + ... + 302715.

Almost surely, 245698640 is an apocalyptic number.

45698640 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 45698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77578368).

45698640 is an abundant number, since it is smaller than the sum of its proper divisors (109458096).

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

45698640 is a wasteful number, since it uses less digits than its factorization.

45698640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 45698640 is about 6760.0769226393. The cubic root of 45698640 is about 357.5206175861.

The spelling of 45698640 in words is "forty-five million, six hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 97 104 120 130 151 156 194 195 208 240 260 291 302 312 388 390 453 485 520 582 604 624 755 776 780 906 970 1040 1164 1208 1261 1455 1510 1552 1560 1812 1940 1963 2265 2328 2416 2522 2910 3020 3120 3624 3783 3880 3926 4530 4656 5044 5820 5889 6040 6305 7248 7566 7760 7852 9060 9815 10088 11640 11778 12080 12610 14647 15132 15704 18120 18915 19630 20176 23280 23556 25220 29294 29445 30264 31408 36240 37830 39260 43941 47112 50440 58588 58890 60528 73235 75660 78520 87882 94224 100880 117176 117780 146470 151320 157040 175764 190411 219705 234352 235560 292940 302640 351528 380822 439410 471120 571233 585880 703056 761644 878820 952055 1142466 1171760 1523288 1757640 1904110 2284932 2856165 3046576 3515280 3808220 4569864 5712330 7616440 9139728 11424660 15232880 22849320 45698640