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47540532 = 223131931579
BaseRepresentation
bin1011010101011…
…0100100110100
310022110022100110
42311112210310
544132244112
64414543020
71115042064
oct265264464
9108408313
1047540532
11249209a6
1213b07a70
139b06ac0
1464573a4
15429113c
hex2d56934

47540532 has 48 divisors (see below), whose sum is σ = 120155840. Its totient is φ = 14542848.

The previous prime is 47540513. The next prime is 47540557. The reversal of 47540532 is 23504574.

47540532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47540532.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29319 + ... + 30897.

Almost surely, 247540532 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 47540532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60077920).

47540532 is an abundant number, since it is smaller than the sum of its proper divisors (72615308).

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

47540532 is a wasteful number, since it uses less digits than its factorization.

47540532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 47540532 is about 6894.9642493634. The cubic root of 47540532 is about 362.2608032781.

The spelling of 47540532 in words is "forty-seven million, five hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 1579 2316 2509 3158 4737 5018 6316 7527 9474 10036 15054 18948 20527 30108 41054 61581 82108 123162 246324 304747 609494 914241 1218988 1828482 3656964 3961711 7923422 11885133 15846844 23770266 47540532