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51486960 = 24357191613
BaseRepresentation
bin1100010001101…
…0000011110000
310120212210211110
43010122003300
5101140040320
65035313320
71163426520
oct304320360
9116783743
1051486960
1127076a08
12152ab840
13a889175
146ba3680
1547c05e0
hex311a0f0

51486960 has 160 divisors (see below), whose sum is σ = 192130560. Its totient is φ = 11142144.

The previous prime is 51486959. The next prime is 51486961. The reversal of 51486960 is 6968415.

It is an interprime number because it is at equal distance from previous prime (51486959) and next prime (51486961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51486961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31114 + ... + 32726.

It is an arithmetic number, because the mean of its divisors is an integer number (1200816).

Almost surely, 251486960 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 51486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96065280).

51486960 is an abundant number, since it is smaller than the sum of its proper divisors (140643600).

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

51486960 is a wasteful number, since it uses less digits than its factorization.

51486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 51486960 is about 7175.4414498343. The cubic root of 51486960 is about 372.0195388049.

The spelling of 51486960 in words is "fifty-one million, four hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1613 1680 1995 2128 2280 2660 3192 3226 3990 4560 4839 5320 6384 6452 7980 8065 9678 10640 11291 12904 15960 16130 19356 22582 24195 25808 30647 31920 32260 33873 38712 45164 48390 56455 61294 64520 67746 77424 90328 91941 96780 112910 122588 129040 135492 153235 169365 180656 183882 193560 214529 225820 245176 270984 306470 338730 367764 387120 429058 451640 459705 490352 541968 612940 643587 677460 735528 858116 903280 919410 1072645 1225880 1287174 1354920 1471056 1716232 1838820 2145290 2451760 2574348 2709840 3217935 3432464 3677640 4290580 5148696 6435870 7355280 8581160 10297392 12871740 17162320 25743480 51486960