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47036964 = 223132111429
BaseRepresentation
bin1011001101101…
…1101000100100
310021111201120210
42303123220210
544020140324
64400055420
71110544002
oct263335044
9107451523
1047036964
1124607627
1213904570
13998b830
146365a72
1541e1d29
hex2cdba24

47036964 has 48 divisors (see below), whose sum is σ = 118838720. Its totient is φ = 14394240.

The previous prime is 47036959. The next prime is 47036971. The reversal of 47036964 is 46963074.

47036964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 32202 + ... + 33630.

Almost surely, 247036964 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 47036964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59419360).

47036964 is an abundant number, since it is smaller than the sum of its proper divisors (71801756).

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

47036964 is a wasteful number, since it uses less digits than its factorization.

47036964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 47036964 is about 6858.3499473270. The cubic root of 47036964 is about 360.9771907740.

The spelling of 47036964 in words is "forty-seven million, thirty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 422 633 844 1266 1429 2532 2743 2858 4287 5486 5716 8229 8574 10972 16458 17148 18577 32916 37154 55731 74308 111462 222924 301519 603038 904557 1206076 1809114 3618228 3919747 7839494 11759241 15678988 23518482 47036964