Search a number
-
+
47997136 = 24112371167
BaseRepresentation
bin1011011100011…
…0000011010000
310100022111200201
42313012003100
544241402021
64432424544
71121653225
oct267060320
9110274621
1047997136
1125102a60
12140a8154
139c36895
14653594c
154331591
hex2dc60d0

47997136 has 80 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 20451200.

The previous prime is 47997133. The next prime is 47997139. The reversal of 47997136 is 63179974.

It is an interprime number because it is at equal distance from previous prime (47997133) and next prime (47997139).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47997133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 287325 + ... + 287491.

Almost surely, 247997136 is an apocalyptic number.

47997136 is a gapful number since it is divisible by the number (46) 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 47997136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

47997136 is an abundant number, since it is smaller than the sum of its proper divisors (59995952).

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

47997136 is a wasteful number, since it uses less digits than its factorization.

47997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 285768, while the sum is 46.

The square root of 47997136 is about 6927.9965357959. The cubic root of 47997136 is about 363.4168903208.

It can be divided in two parts, 4799 and 7136, that added together give a triangular number (11935 = T154).

The spelling of 47997136 in words is "forty-seven million, nine hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 71 88 92 142 167 176 184 253 284 334 368 506 568 668 781 1012 1136 1336 1562 1633 1837 2024 2672 3124 3266 3674 3841 4048 6248 6532 7348 7682 11857 12496 13064 14696 15364 17963 23714 26128 29392 30728 35926 42251 47428 61456 71852 84502 94856 130427 143704 169004 189712 260854 272711 287408 338008 521708 545422 676016 1043416 1090844 2086832 2181688 2999821 4363376 5999642 11999284 23998568 47997136