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48044153200 = 24521512692957
BaseRepresentation
bin101100101111101001…
…111001100101110000
311121000021112212012111
4230233221321211300
51241343300400300
634023212535104
73320402364331
oct545751714560
9147007485174
1048044153200
111941474343a
129389a81494
1346b87b4724
14247aa8a288
1513b2d049ba
hexb2fa79970

48044153200 has 120 divisors (see below), whose sum is σ = 116661863520. Its totient is φ = 19012992000.

The previous prime is 48044153197. The next prime is 48044153207. The reversal of 48044153200 is 235144084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48044153207) 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, 16246122 + ... + 16249078.

It is an arithmetic number, because the mean of its divisors is an integer number (972182196).

Almost surely, 248044153200 is an apocalyptic number.

48044153200 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 48044153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58330931760).

48044153200 is an abundant number, since it is smaller than the sum of its proper divisors (68617710320).

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

48044153200 is a wasteful number, since it uses less digits than its factorization.

48044153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 48044153200 its reverse (235144084), we get a palindrome (48279297284).

The spelling of 48044153200 in words is "forty-eight billion, forty-four million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 151 200 269 302 400 538 604 755 1076 1208 1345 1510 2152 2416 2690 2957 3020 3775 4304 5380 5914 6040 6725 7550 10760 11828 12080 13450 14785 15100 21520 23656 26900 29570 30200 40619 47312 53800 59140 60400 73925 81238 107600 118280 147850 162476 203095 236560 295700 324952 406190 446507 591400 649904 795433 812380 893014 1015475 1182800 1590866 1624760 1786028 2030950 2232535 3181732 3249520 3572056 3977165 4061900 4465070 6363464 7144112 7954330 8123800 8930140 11162675 12726928 15908660 16247600 17860280 19885825 22325350 31817320 35720560 39771650 44650700 63634640 79543300 89301400 120110383 159086600 178602800 240220766 318173200 480441532 600551915 960883064 1201103830 1921766128 2402207660 3002759575 4804415320 6005519150 9608830640 12011038300 24022076600 48044153200