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48199968 = 253355787
BaseRepresentation
bin1011011111011…
…1100100100000
310100200210221000
42313313210200
544314344333
64441032000
71123456455
oct267674440
9110623830
1048199968
1125231393
1214185600
139ca7cbb
14658982c
154371713
hex2df7920

48199968 has 48 divisors (see below), whose sum is σ = 140585760. Its totient is φ = 16066368.

The previous prime is 48199961. The next prime is 48200003. The reversal of 48199968 is 86999184.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48199961) 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, 27030 + ... + 28757.

It is an arithmetic number, because the mean of its divisors is an integer number (2928870).

Almost surely, 248199968 is an apocalyptic number.

48199968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48199968 is an abundant number, since it is smaller than the sum of its proper divisors (92385792).

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

48199968 is a wasteful number, since it uses less digits than its factorization.

48199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55806 (or 55792 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 48199968 is about 6942.6196784787. The cubic root of 48199968 is about 363.9280943180.

The spelling of 48199968 in words is "forty-eight million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 55787 111574 167361 223148 334722 446296 502083 669444 892592 1004166 1338888 1506249 1785184 2008332 2677776 3012498 4016664 5355552 6024996 8033328 12049992 16066656 24099984 48199968