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51063200 = 2552293171
BaseRepresentation
bin1100001011001…
…0100110100000
310120002021112122
43002302212200
5101033010300
65022243412
71160013206
oct302624640
9116067478
1051063200
11269075a1
1215126568
13a76b316
146ad3076
154739c85
hex30b29a0

51063200 has 144 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 18816000.

The previous prime is 51063191. The next prime is 51063227. The reversal of 51063200 is 236015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719165 + ... + 719235.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 251063200 is an apocalyptic number.

51063200 is a gapful number since it is divisible by the number (50) 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 51063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

51063200 is an abundant number, since it is smaller than the sum of its proper divisors (83928160).

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

51063200 is a wasteful number, since it uses less digits than its factorization.

51063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 51063200 is about 7145.8519436104. The cubic root of 51063200 is about 370.9960985052.

Adding to 51063200 its reverse (236015), we get a palindrome (51299215).

The spelling of 51063200 in words is "fifty-one million, sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 32 40 50 58 62 71 80 100 116 124 142 145 155 160 200 232 248 284 290 310 355 400 464 496 568 580 620 710 725 775 800 899 928 992 1136 1160 1240 1420 1450 1550 1775 1798 2059 2201 2272 2320 2480 2840 2900 3100 3550 3596 4118 4402 4495 4640 4960 5680 5800 6200 7100 7192 8236 8804 8990 10295 11005 11360 11600 12400 14200 14384 16472 17608 17980 20590 22010 22475 23200 24800 28400 28768 32944 35216 35960 41180 44020 44950 51475 55025 56800 63829 65888 70432 71920 82360 88040 89900 102950 110050 127658 143840 164720 176080 179800 205900 220100 255316 319145 329440 352160 359600 411800 440200 510632 638290 719200 823600 880400 1021264 1276580 1595725 1647200 1760800 2042528 2553160 3191450 5106320 6382900 10212640 12765800 25531600 51063200