Search a number
-
+
46000640 = 295717151
BaseRepresentation
bin1010111101111…
…0101000000000
310012120002000102
42233132220000
543234010030
64321541532
71065666440
oct257365000
9105502012
1046000640
1123a69a64
12134a48a8
1396b7c1a
146176120
154089c45
hex2bdea00

46000640 has 160 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 14745600.

The previous prime is 46000637. The next prime is 46000681. The reversal of 46000640 is 4600064.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304565 + ... + 304715.

Almost surely, 246000640 is an apocalyptic number.

46000640 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 46000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

46000640 is an abundant number, since it is smaller than the sum of its proper divisors (88347904).

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

46000640 is a wasteful number, since it uses less digits than its factorization.

46000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46000640 is about 6782.3771643871. The cubic root of 46000640 is about 358.3064487972.

46000640 divided by its sum of digits (20) gives a palindrome (2300032).

Subtracting from 46000640 its product of nonzero digits (576), we obtain a palindrome (46000064).

The spelling of 46000640 in words is "forty-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 151 160 170 224 238 256 272 280 302 320 340 448 476 512 544 560 595 604 640 680 755 896 952 1057 1088 1120 1190 1208 1280 1360 1510 1792 1904 2114 2176 2240 2380 2416 2560 2567 2720 3020 3584 3808 4228 4352 4480 4760 4832 5134 5285 5440 6040 7616 8456 8704 8960 9520 9664 10268 10570 10880 12080 12835 15232 16912 17920 17969 19040 19328 20536 21140 21760 24160 25670 30464 33824 35938 38080 38656 41072 42280 43520 48320 51340 60928 67648 71876 76160 77312 82144 84560 89845 96640 102680 135296 143752 152320 164288 169120 179690 193280 205360 270592 287504 304640 328576 338240 359380 386560 410720 541184 575008 657152 676480 718760 821440 1150016 1314304 1352960 1437520 1642880 2300032 2705920 2875040 3285760 4600064 5750080 6571520 9200128 11500160 23000320 46000640