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46400046 = 23711671499
BaseRepresentation
bin1011000100000…
…0001000101110
310020022100220020
42301000020232
543334300141
64334303010
71102252050
oct261001056
9106270806
1046400046
1124212050
1213657a66
1397c7964
14623b8d0
154118266
hex2c4022e

46400046 has 64 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 11864160.

The previous prime is 46400023. The next prime is 46400093. The reversal of 46400046 is 64000464.

It is a junction number, because it is equal to n+sod(n) for n = 46399989 and 46400025.

It is a congruent number.

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, 30205 + ... + 31703.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 246400046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46400046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

46400046 is an abundant number, since it is smaller than the sum of its proper divisors (71103954).

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

46400046 is a wasteful number, since it uses less digits than its factorization.

46400046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 46400046 is about 6811.7579228860. The cubic root of 46400046 is about 359.3404745761.

The spelling of 46400046 in words is "forty-six million, four hundred thousand, forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 1499 2211 2814 2998 4422 4497 5159 8994 10318 10493 15477 16489 20986 30954 31479 32978 49467 62958 98934 100433 115423 200866 230846 301299 346269 602598 692538 703031 1104763 1406062 2109093 2209526 3314289 4218186 6628578 7733341 15466682 23200023 46400046