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47121312 = 253770121
BaseRepresentation
bin1011001111000…
…0001110100000
310021200000021210
42303300032200
544030340222
64401550120
71111344630
oct263601640
9107600253
1047121312
1124664a37
1213945340
1399bb044
1463886c0
15420bd0c
hex2cf03a0

47121312 has 48 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 13463040.

The previous prime is 47121253. The next prime is 47121329. The reversal of 47121312 is 21312174.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34389 + ... + 35732.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 247121312 is an apocalyptic number.

47121312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47121312 is an abundant number, since it is smaller than the sum of its proper divisors (94244640).

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

47121312 is a wasteful number, since it uses less digits than its factorization.

47121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70141 (or 70133 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 47121312 is about 6864.4964855407. The cubic root of 47121312 is about 361.1928333929.

Adding to 47121312 its reverse (21312174), we get a palindrome (68433486).

The spelling of 47121312 in words is "forty-seven million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 70121 140242 210363 280484 420726 490847 560968 841452 981694 1121936 1472541 1682904 1963388 2243872 2945082 3365808 3926776 5890164 6731616 7853552 11780328 15707104 23560656 47121312