Search a number
-
+
40846080 = 283511967
BaseRepresentation
bin1001101111010…
…0001100000000
32211212012021210
42123310030000
540424033310
64015250120
71004120532
oct233641400
984765253
1040846080
11210692a0
1211819940
1386019a2
1455d3852
1538bc820
hex26f4300

40846080 has 144 divisors (see below), whose sum is σ = 142458624. Its totient is φ = 9891840.

The previous prime is 40846079. The next prime is 40846097. The reversal of 40846080 is 8064804.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 41757 + ... + 42723.

It is an arithmetic number, because the mean of its divisors is an integer number (989296).

Almost surely, 240846080 is an apocalyptic number.

40846080 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 40846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71229312).

40846080 is an abundant number, since it is smaller than the sum of its proper divisors (101612544).

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

40846080 is a wasteful number, since it uses less digits than its factorization.

40846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40846080 is about 6391.0938030982. The cubic root of 40846080 is about 344.3896791953.

The spelling of 40846080 in words is "forty million, eight hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 967 1056 1280 1320 1408 1760 1920 1934 2112 2640 2816 2901 3520 3840 3868 4224 4835 5280 5802 7040 7736 8448 9670 10560 10637 11604 14080 14505 15472 19340 21120 21274 23208 29010 30944 31911 38680 42240 42548 46416 53185 58020 61888 63822 77360 85096 92832 106370 116040 123776 127644 154720 159555 170192 185664 212740 232080 247552 255288 309440 319110 340384 371328 425480 464160 510576 618880 638220 680768 742656 850960 928320 1021152 1237760 1276440 1361536 1701920 1856640 2042304 2552880 2723072 3403840 3713280 4084608 5105760 6807680 8169216 10211520 13615360 20423040 40846080