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46006992 = 24322329479
BaseRepresentation
bin1010111110000…
…0001011010000
310012120101201200
42233200023100
543234210432
64322031200
71066024113
oct257401320
9105511650
1046006992
1123a73809
12134a8500
1396baa95
14617857a
15408ba7c
hex2be02d0

46006992 has 120 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 14133504.

The previous prime is 46006991. The next prime is 46007023. The reversal of 46006992 is 29960064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46006991) 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 23 ways as a sum of consecutive naturals, for example, 95809 + ... + 96287.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 246006992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46006992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

46006992 is an abundant number, since it is smaller than the sum of its proper divisors (93269808).

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

46006992 is a wasteful number, since it uses less digits than its factorization.

46006992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 46006992 is about 6782.8454206181. The cubic root of 46006992 is about 358.3229402911.

The spelling of 46006992 in words is "forty-six million, six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 479 522 552 667 696 828 958 1044 1104 1334 1392 1437 1656 1916 2001 2088 2668 2874 3312 3832 4002 4176 4311 5336 5748 6003 7664 8004 8622 10672 11017 11496 12006 13891 16008 17244 22034 22992 24012 27782 32016 33051 34488 41673 44068 48024 55564 66102 68976 83346 88136 96048 99153 111128 125019 132204 166692 176272 198306 222256 250038 264408 319493 333384 396612 500076 528816 638986 666768 793224 958479 1000152 1277972 1586448 1916958 2000304 2555944 2875437 3833916 5111888 5750874 7667832 11501748 15335664 23003496 46006992