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46490880 = 283512107
BaseRepresentation
bin1011000101011…
…0010100000000
310020110222111110
42301112110000
543400202010
64340243320
71103110632
oct261262400
9106428443
1046490880
1124274317
12136a0540
13982a0c7
146262a52
154135120
hex2c56500

46490880 has 72 divisors (see below), whose sum is σ = 148492512. Its totient is φ = 12396544.

The previous prime is 46490867. The next prime is 46490887. The reversal of 46490880 is 8809464.

It is a super-2 number, since 2×464908802 = 4322803846348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46490887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (2062396).

Almost surely, 246490880 is an apocalyptic number.

46490880 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 46490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74246256).

46490880 is an abundant number, since it is smaller than the sum of its proper divisors (102001632).

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

46490880 is a wasteful number, since it uses less digits than its factorization.

46490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 46490880 is about 6818.4221048568. The cubic root of 46490880 is about 359.5748066469.

The spelling of 46490880 in words is "forty-six million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 12107 24214 36321 48428 60535 72642 96856 121070 145284 181605 193712 242140 290568 363210 387424 484280 581136 726420 774848 968560 1162272 1452840 1549696 1937120 2324544 2905680 3099392 3874240 4649088 5811360 7748480 9298176 11622720 15496960 23245440 46490880