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48069040 = 245738231
BaseRepresentation
bin1011011101011…
…1100110110000
310100110011022211
42313113212300
544301202130
64434141504
71122402655
oct267274660
9110404284
1048069040
1125151a88
1214121894
139c60526
146553c2c
154347a2a
hex2dd79b0

48069040 has 40 divisors (see below), whose sum is σ = 113305248. Its totient is φ = 18961920.

The previous prime is 48069017. The next prime is 48069041. The reversal of 48069040 is 4096084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×480690403 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48068993 and 48069011.

It is not an unprimeable number, because it can be changed into a prime (48069041) 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, 1725 + ... + 9955.

Almost surely, 248069040 is an apocalyptic number.

48069040 is a gapful number since it is divisible by the number (40) 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 48069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56652624).

48069040 is an abundant number, since it is smaller than the sum of its proper divisors (65236208).

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

48069040 is a wasteful number, since it uses less digits than its factorization.

48069040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 48069040 is about 6933.1839727502. The cubic root of 48069040 is about 363.5982767685.

The spelling of 48069040 in words is "forty-eight million, sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 8231 16462 32924 41155 65848 82310 131696 164620 329240 600863 658480 1201726 2403452 3004315 4806904 6008630 9613808 12017260 24034520 48069040