Search a number
-
+
48717036 = 223217233461
BaseRepresentation
bin1011100111010…
…1110011101100
310101200002012200
42321311303230
544432421121
64500101500
71131042114
oct271656354
9111602180
1048717036
1125554915
1214394890
13a129464
146682044
154424a26
hex2e75cec

48717036 has 72 divisors (see below), whose sum is σ = 136098144. Its totient is φ = 14615040.

The previous prime is 48717029. The next prime is 48717041. The reversal of 48717036 is 63071784.

48717036 is a `hidden beast` number, since 487 + 170 + 3 + 6 = 666.

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

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, 12346 + ... + 15806.

It is an arithmetic number, because the mean of its divisors is an integer number (1890252).

Almost surely, 248717036 is an apocalyptic number.

48717036 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 48717036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68049072).

48717036 is an abundant number, since it is smaller than the sum of its proper divisors (87381108).

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

48717036 is a wasteful number, since it uses less digits than its factorization.

48717036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 48717036 is about 6979.7590216282. The cubic root of 48717036 is about 365.2248217728.

The spelling of 48717036 in words is "forty-eight million, seven hundred seventeen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3461 3519 4692 6922 7038 10383 13844 14076 20766 31149 41532 58837 62298 79603 117674 124596 159206 176511 235348 238809 318412 353022 477618 529533 706044 716427 955236 1059066 1353251 1432854 2118132 2706502 2865708 4059753 5413004 8119506 12179259 16239012 24358518 48717036