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48668850 = 2345261197
BaseRepresentation
bin1011100110101…
…0000010110010
310101120122010000
42321222002302
544424400400
64455050430
71130451456
oct271520262
9111518100
1048668850
112552169a
1214370a16
13a110549
14666c666
154415600
hex2e6a0b2

48668850 has 120 divisors (see below), whose sum is σ = 138141828. Its totient is φ = 12700800.

The previous prime is 48668831. The next prime is 48668869. The reversal of 48668850 is 5886684.

48668850 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (48668831) and next prime (48668869).

It can be written as a sum of positive squares in 6 ways, for example, as 18429849 + 30239001 = 4293^2 + 5499^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48668796 and 48668805.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 246952 + ... + 247148.

Almost surely, 248668850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48668850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69070914).

48668850 is an abundant number, since it is smaller than the sum of its proper divisors (89472978).

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

48668850 is a wasteful number, since it uses less digits than its factorization.

48668850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 48668850 is about 6976.3063292834. The cubic root of 48668850 is about 365.1043674773.

The spelling of 48668850 in words is "forty-eight million, six hundred sixty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 81 90 122 135 150 162 183 197 225 270 305 366 394 405 450 549 591 610 675 810 915 985 1098 1182 1350 1525 1647 1773 1830 1970 2025 2745 2955 3050 3294 3546 4050 4575 4925 4941 5319 5490 5910 8235 8865 9150 9850 9882 10638 12017 13725 14775 15957 16470 17730 24034 24705 26595 27450 29550 31914 36051 41175 44325 49410 53190 60085 72102 79785 82350 88650 108153 120170 123525 132975 159570 180255 216306 247050 265950 300425 324459 360510 398925 540765 600850 648918 797850 901275 973377 1081530 1622295 1802550 1946754 2703825 3244590 4866885 5407650 8111475 9733770 16222950 24334425 48668850