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47345664 = 21233853
BaseRepresentation
bin1011010010011…
…1000000000000
310022002102001010
42310213000000
544110030124
64410440520
71113301002
oct264470000
9108072033
1047345664
11247a8553
1213a33140
139a691b2
146406372
154253529
hex2d27000

47345664 has 52 divisors (see below), whose sum is σ = 126272456. Its totient is φ = 15777792.

The previous prime is 47345651. The next prime is 47345677. The reversal of 47345664 is 46654374.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47345651) and next prime (47345677).

It is a super-2 number, since 2×473456642 = 4483223799201792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10362 + ... + 14214.

Almost surely, 247345664 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 47345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63136228).

47345664 is an abundant number, since it is smaller than the sum of its proper divisors (78926792).

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

47345664 is an equidigital number, since it uses as much as digits as its factorization.

47345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3858 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 47345664 is about 6880.8185559568. The cubic root of 47345664 is about 361.7651580621.

The spelling of 47345664 in words is "forty-seven million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3853 4096 6144 7706 11559 12288 15412 23118 30824 46236 61648 92472 123296 184944 246592 369888 493184 739776 986368 1479552 1972736 2959104 3945472 5918208 7890944 11836416 15781888 23672832 47345664