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47279052 = 2235127383
BaseRepresentation
bin1011010001011…
…0101111001100
310021222000200000
42310112233030
544100412202
64405204300
71112602542
oct264265714
9107860600
1047279052
11247624a7
1213a00690
139a44a92
1463c9d92
15423d91c
hex2d16bcc

47279052 has 72 divisors (see below), whose sum is σ = 125239296. Its totient is φ = 15594768.

The previous prime is 47279033. The next prime is 47279083. The reversal of 47279052 is 25097274.

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

It is a junction number, because it is equal to n+sod(n) for n = 47278998 and 47279016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123253 + ... + 123635.

Almost surely, 247279052 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 47279052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619648).

47279052 is an abundant number, since it is smaller than the sum of its proper divisors (77960244).

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

47279052 is a wasteful number, since it uses less digits than its factorization.

47279052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47279052 is about 6875.9764397502. The cubic root of 47279052 is about 361.5954191049.

It can be divided in two parts, 472 and 79052, that added together give a square (79524 = 2822).

The spelling of 47279052 in words is "forty-seven million, two hundred seventy-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 383 486 508 762 766 972 1143 1149 1524 1532 2286 2298 3429 3447 4572 4596 6858 6894 10287 10341 13716 13788 20574 20682 30861 31023 41148 41364 48641 61722 62046 93069 97282 123444 124092 145923 186138 194564 291846 372276 437769 583692 875538 1313307 1751076 2626614 3939921 5253228 7879842 11819763 15759684 23639526 47279052