Search a number
-
+
48952080 = 24335131173
BaseRepresentation
bin1011101010111…
…1001100010000
310102010000122000
42322233030100
5100012431310
64505114000
71133041302
oct272571420
9112100560
1048952080
11256a5471
1214488900
13a1ac438
146703972
15446e4c0
hex2eaf310

48952080 has 160 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 12879360.

The previous prime is 48952067. The next prime is 48952081. The reversal of 48952080 is 8025984.

48952080 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 2×489520802 = 4792612272652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48952081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 282874 + ... + 283046.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 248952080 is an apocalyptic number.

48952080 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 48952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

48952080 is an abundant number, since it is smaller than the sum of its proper divisors (121929840).

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

48952080 is a wasteful number, since it uses less digits than its factorization.

48952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 48952080 is about 6996.5763055940. The cubic root of 48952080 is about 365.8112437073.

The spelling of 48952080 in words is "forty-eight million, nine hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 131 135 144 173 180 216 240 262 270 346 360 393 432 519 524 540 655 692 720 786 865 1038 1048 1080 1179 1310 1384 1557 1572 1730 1965 2076 2096 2160 2358 2595 2620 2768 3114 3144 3460 3537 3930 4152 4671 4716 5190 5240 5895 6228 6288 6920 7074 7785 7860 8304 9342 9432 10380 10480 11790 12456 13840 14148 15570 15720 17685 18684 18864 20760 22663 23355 23580 24912 28296 31140 31440 35370 37368 41520 45326 46710 47160 56592 62280 67989 70740 74736 90652 93420 94320 113315 124560 135978 141480 181304 186840 203967 226630 271956 282960 339945 362608 373680 407934 453260 543912 611901 679890 815868 906520 1019835 1087824 1223802 1359780 1631736 1813040 2039670 2447604 2719560 3059505 3263472 4079340 4895208 5439120 6119010 8158680 9790416 12238020 16317360 24476040 48952080