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46993050 = 232521329277
BaseRepresentation
bin1011001101000…
…0111010011010
310021102111100100
42303100322122
544012234200
64355120230
71110301656
oct263207232
9107374310
1046993050
1124587635
12138a3076
139974850
146353a66
1541d3d00
hex2cd0e9a

46993050 has 144 divisors (see below), whose sum is σ = 141162840. Its totient is φ = 11128320.

The previous prime is 46993043. The next prime is 46993069. The reversal of 46993050 is 5039964.

46993050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 576081 + 46416969 = 759^2 + 6813^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46992996 and 46993014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169512 + ... + 169788.

Almost surely, 246993050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46993050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70581420).

46993050 is an abundant number, since it is smaller than the sum of its proper divisors (94169790).

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

46993050 is a wasteful number, since it uses less digits than its factorization.

46993050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 46993050 is about 6855.1477008158. The cubic root of 46993050 is about 360.8648189517.

The spelling of 46993050 in words is "forty-six million, nine hundred ninety-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 277 290 325 377 390 435 450 522 554 585 650 725 754 831 870 975 1131 1170 1305 1385 1450 1662 1885 1950 2175 2262 2493 2610 2770 2925 3393 3601 3770 4155 4350 4986 5655 5850 6525 6786 6925 7202 8033 8310 9425 10803 11310 12465 13050 13850 16066 16965 18005 18850 20775 21606 24099 24930 28275 32409 33930 36010 40165 41550 48198 54015 56550 62325 64818 72297 80330 84825 90025 104429 108030 120495 124650 144594 162045 169650 180050 200825 208858 240990 270075 313287 324090 361485 401650 522145 540150 602475 626574 722970 810225 939861 1044290 1204950 1566435 1620450 1807425 1879722 2610725 3132870 3614850 4699305 5221450 7832175 9398610 15664350 23496525 46993050