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47136804 = 223111322113
BaseRepresentation
bin1011001111010…
…0000000100100
310021200210112120
42303310000210
544031334204
64402145540
71111441041
oct263640044
9107623476
1047136804
1124675640
12139522b0
1399c5100
1463901c8
1542116d9
hex2cf4024

47136804 has 72 divisors (see below), whose sum is σ = 129985632. Its totient is φ = 13178880.

The previous prime is 47136799. The next prime is 47136809. The reversal of 47136804 is 40863174.

It is an interprime number because it is at equal distance from previous prime (47136799) and next prime (47136809).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47136809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21252 + ... + 23364.

It is an arithmetic number, because the mean of its divisors is an integer number (1805356).

Almost surely, 247136804 is an apocalyptic number.

47136804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47136804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64992816).

47136804 is an abundant number, since it is smaller than the sum of its proper divisors (82848828).

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

47136804 is a wasteful number, since it uses less digits than its factorization.

47136804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47136804 is about 6865.6248076923. The cubic root of 47136804 is about 361.2324119900.

Adding to 47136804 its reverse (40863174), we get a palindrome (87999978).

The spelling of 47136804 in words is "forty-seven million, one hundred thirty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 2113 3718 4226 5577 6339 7436 8452 11154 12678 22308 23243 25356 27469 46486 54938 69729 82407 92972 109876 139458 164814 278916 302159 329628 357097 604318 714194 906477 1071291 1208636 1428388 1812954 2142582 3625908 3928067 4285164 7856134 11784201 15712268 23568402 47136804