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45989640 = 2333597439
BaseRepresentation
bin1010111101101…
…1111100001000
310012112111221000
42233123330020
543233132030
64321415000
71065622404
oct257337410
9105474830
1045989640
1123a61774
121349a460
1396b2c08
146172104
154086860
hex2bdbf08

45989640 has 128 divisors (see below), whose sum is σ = 155232000. Its totient is φ = 12109824.

The previous prime is 45989639. The next prime is 45989653. The reversal of 45989640 is 4698954.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 104541 + ... + 104979.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 245989640 is an apocalyptic number.

45989640 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 45989640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616000).

45989640 is an abundant number, since it is smaller than the sum of its proper divisors (109242360).

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

45989640 is a wasteful number, since it uses less digits than its factorization.

45989640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 45989640 is about 6781.5661907851. The cubic root of 45989640 is about 358.2778862588.

The spelling of 45989640 in words is "forty-five million, nine hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 97 108 120 135 180 194 216 270 291 360 388 439 485 540 582 776 873 878 970 1080 1164 1317 1455 1746 1756 1940 2195 2328 2619 2634 2910 3492 3512 3880 3951 4365 4390 5238 5268 5820 6585 6984 7902 8730 8780 10476 10536 11640 11853 13095 13170 15804 17460 17560 19755 20952 23706 26190 26340 31608 34920 39510 42583 47412 52380 52680 59265 79020 85166 94824 104760 118530 127749 158040 170332 212915 237060 255498 340664 383247 425830 474120 510996 638745 766494 851660 1021992 1149741 1277490 1532988 1703320 1916235 2299482 2554980 3065976 3832470 4598964 5109960 5748705 7664940 9197928 11497410 15329880 22994820 45989640