Search a number
-
+
48817664 = 29753257
BaseRepresentation
bin1011101000111…
…0011000000000
310101212012020122
42322032120000
544444131124
64502155412
71131641360
oct272163000
9111765218
1048817664
1125613485
1214422b68
13a1631bc
1466aa9a0
15444475e
hex2e8e600

48817664 has 80 divisors (see below), whose sum is σ = 114019488. Its totient is φ = 20447232.

The previous prime is 48817633. The next prime is 48817667. The reversal of 48817664 is 46671884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48817667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189824 + ... + 190080.

Almost surely, 248817664 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 48817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57009744).

48817664 is an abundant number, since it is smaller than the sum of its proper divisors (65201824).

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

48817664 is an equidigital number, since it uses as much as digits as its factorization.

48817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 48817664 is about 6986.9638613635. The cubic root of 48817664 is about 365.4761135247.

The spelling of 48817664 in words is "forty-eight million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 257 371 424 448 512 514 742 848 896 1028 1484 1696 1792 1799 2056 2968 3392 3584 3598 4112 5936 6784 7196 8224 11872 13568 13621 14392 16448 23744 27136 27242 28784 32896 47488 54484 57568 65792 94976 95347 108968 115136 131584 189952 190694 217936 230272 381388 435872 460544 762776 871744 921088 1525552 1743488 3051104 3486976 6102208 6973952 12204416 24408832 48817664