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47448768 = 2631714537
BaseRepresentation
bin1011010100000…
…0001011000000
310022021122110210
42311000023000
544121330033
64412554120
71114210413
oct265001300
9108248423
1047448768
1124868a64
1213a82940
139aa40c3
146431b7a
154273d63
hex2d402c0

47448768 has 56 divisors (see below), whose sum is σ = 132935472. Its totient is φ = 14884864.

The previous prime is 47448761. The next prime is 47448769. The reversal of 47448768 is 86784474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (47448761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4005 + ... + 10532.

Almost surely, 247448768 is an apocalyptic number.

47448768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47448768 is an abundant number, since it is smaller than the sum of its proper divisors (85486704).

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

47448768 is a wasteful number, since it uses less digits than its factorization.

47448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569 (or 14559 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 47448768 is about 6888.3066133847. The cubic root of 47448768 is about 362.0275713359.

The spelling of 47448768 in words is "forty-seven million, four hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 14537 29074 43611 58148 87222 116296 174444 232592 247129 348888 465184 494258 697776 741387 930368 988516 1395552 1482774 1977032 2791104 2965548 3954064 5931096 7908128 11862192 15816256 23724384 47448768