Search a number
-
+
48992664 = 23371931511
BaseRepresentation
bin1011101011100…
…1000110011000
310102012002022010
42322321012120
5100020231124
64510025520
71133300520
oct272710630
9112162263
1048992664
1125722a06
12144a82a0
13a1c4a56
146714680
15447b529
hex2eb9198

48992664 has 64 divisors (see below), whose sum is σ = 140797440. Its totient is φ = 13916160.

The previous prime is 48992653. The next prime is 48992683. The reversal of 48992664 is 46629984.

48992664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×489926642 = 4800562251633792, which contains 22 as substring.

It is a congruent number.

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, 31669 + ... + 33179.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 248992664 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 48992664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398720).

48992664 is an abundant number, since it is smaller than the sum of its proper divisors (91804776).

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

48992664 is a wasteful number, since it uses less digits than its factorization.

48992664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 48992664 is about 6999.4759803860. The cubic root of 48992664 is about 365.9123084129.

The spelling of 48992664 in words is "forty-eight million, nine hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1511 1544 2316 2702 3022 4053 4533 4632 5404 6044 8106 9066 10577 10808 12088 16212 18132 21154 31731 32424 36264 42308 63462 84616 126924 253848 291623 583246 874869 1166492 1749738 2041361 2332984 3499476 4082722 6124083 6998952 8165444 12248166 16330888 24496332 48992664