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46997984 = 2511315973
BaseRepresentation
bin1011001101001…
…0000111100000
310021102202010002
42303102013200
544012413414
64355155132
71110322235
oct263220740
9107382102
1046997984
1124590310
12138a5aa8
139976b77
14635578c
1541d54de
hex2cd21e0

46997984 has 96 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 20044800.

The previous prime is 46997983. The next prime is 46998037. The reversal of 46997984 is 48979964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46997983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643772 + ... + 643844.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 246997984 is an apocalyptic number.

46997984 is a gapful number since it is divisible by the number (44) 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 46997984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

46997984 is an abundant number, since it is smaller than the sum of its proper divisors (60414496).

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

46997984 is a wasteful number, since it uses less digits than its factorization.

46997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 56.

The square root of 46997984 is about 6855.5075669129. The cubic root of 46997984 is about 360.8774480866.

The spelling of 46997984 in words is "forty-six million, nine hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 59 62 73 88 118 124 146 176 236 248 292 341 352 472 496 584 649 682 803 944 992 1168 1298 1364 1606 1829 1888 2263 2336 2596 2728 3212 3658 4307 4526 5192 5456 6424 7316 8614 9052 10384 10912 12848 14632 17228 18104 20119 20768 24893 25696 29264 34456 36208 40238 47377 49786 58528 68912 72416 80476 94754 99572 133517 137824 160952 189508 199144 267034 321904 379016 398288 534068 643808 758032 796576 1068136 1468687 1516064 2136272 2937374 4272544 5874748 11749496 23498992 46997984