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48164940 = 22325299227
BaseRepresentation
bin1011011110111…
…1000001001100
310100122000212200
42313233001030
544312234230
64440201500
71123252365
oct267570114
9110560780
1048164940
112520803a
1214169290
139c95085
14657ab6c
154366160
hex2def04c

48164940 has 72 divisors (see below), whose sum is σ = 151154640. Its totient is φ = 12399744.

The previous prime is 48164939. The next prime is 48164947. The reversal of 48164940 is 4946184.

It is a happy number.

48164940 is a `hidden beast` number, since 4 + 8 + 1 + 649 + 4 + 0 = 666.

It is a super-2 number, since 2×481649402 = 4639722890407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48164895 and 48164904.

It is not an unprimeable number, because it can be changed into a prime (48164947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (2099370).

Almost surely, 248164940 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 48164940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75577320).

48164940 is an abundant number, since it is smaller than the sum of its proper divisors (102989700).

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

48164940 is a wasteful number, since it uses less digits than its factorization.

48164940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48164940 is about 6940.0965411153. The cubic root of 48164940 is about 363.8399147121.

The spelling of 48164940 in words is "forty-eight million, one hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 9227 18454 27681 36908 46135 55362 83043 92270 110724 138405 166086 184540 267583 276810 332172 415215 535166 553620 802749 830430 1070332 1337915 1605498 1660860 2408247 2675830 3210996 4013745 4816494 5351660 8027490 9632988 12041235 16054980 24082470 48164940