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46897452 = 223271491249
BaseRepresentation
bin1011001011100…
…1100100101100
310021020122012200
42302321210230
544001204302
64353101500
71106423160
oct262714454
9107218180
1046897452
1124521828
1213857890
139940194
14632aca0
1541b581c
hex2cb992c

46897452 has 72 divisors (see below), whose sum is σ = 136500000. Its totient is φ = 13298688.

The previous prime is 46897447. The next prime is 46897457. The reversal of 46897452 is 25479864.

It is a happy number.

46897452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46897447) and next prime (46897457).

It is a junction number, because it is equal to n+sod(n) for n = 46897398 and 46897407.

It is not an unprimeable number, because it can be changed into a prime (46897457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36924 + ... + 38172.

It is a vampire number, since it can be written as 62587494 (with its own digits).

Almost surely, 246897452 is an apocalyptic number.

46897452 is a gapful number since it is divisible by the number (42) 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 46897452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68250000).

46897452 is an abundant number, since it is smaller than the sum of its proper divisors (89602548).

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

46897452 is a wasteful number, since it uses less digits than its factorization.

46897452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1410 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 46897452 is about 6848.1714347700. The cubic root of 46897452 is about 360.6199502991.

The spelling of 46897452 in words is "forty-six million, eight hundred ninety-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1249 1341 1788 2086 2498 2682 3129 3747 4172 4996 5364 6258 7494 8743 9387 11241 12516 14988 17486 18774 22482 26229 34972 37548 44964 52458 78687 104916 157374 186101 314748 372202 558303 744404 1116606 1302707 1674909 2233212 2605414 3349818 3908121 5210828 6699636 7816242 11724363 15632484 23448726 46897452