Search a number
-
+
48107730 = 23511731997
BaseRepresentation
bin1011011110000…
…1000011010010
310100112010101210
42313201003102
544303421410
64435040550
71122623526
oct267410322
9110463353
1048107730
1125179060
1214140156
139c75018
146563d86
154354220
hex2de10d2

48107730 has 64 divisors (see below), whose sum is σ = 127744128. Its totient is φ = 11496960.

The previous prime is 48107707. The next prime is 48107737. The reversal of 48107730 is 3770184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48107737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23092 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (1996002).

Almost surely, 248107730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48107730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63872064).

48107730 is an abundant number, since it is smaller than the sum of its proper divisors (79636398).

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

48107730 is a wasteful number, since it uses less digits than its factorization.

48107730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 48107730 is about 6935.9736158668. The cubic root of 48107730 is about 363.6958020832.

The spelling of 48107730 in words is "forty-eight million, one hundred seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 1997 2190 2409 3994 4015 4818 5991 8030 9985 11982 12045 19970 21967 24090 29955 43934 59910 65901 109835 131802 145781 219670 291562 329505 437343 659010 728905 874686 1457810 1603591 2186715 3207182 4373430 4810773 8017955 9621546 16035910 24053865 48107730