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60488960 = 285743157
BaseRepresentation
bin1110011010111…
…1110100000000
311012211011020212
43212233310000
5110441121320
610000253252
71333101440
oct346576400
9135734225
1060488960
1131165284
1218311228
13c6bb6ac
148068120
15549c9c5
hex39afd00

60488960 has 144 divisors (see below), whose sum is σ = 170518656. Its totient is φ = 20127744.

The previous prime is 60488959. The next prime is 60488993. The reversal of 60488960 is 6988406.

60488960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 385202 + ... + 385358.

Almost surely, 260488960 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 60488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85259328).

60488960 is an abundant number, since it is smaller than the sum of its proper divisors (110029696).

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

60488960 is a wasteful number, since it uses less digits than its factorization.

60488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 60488960 is about 7777.4648825951. The cubic root of 60488960 is about 392.5473403621.

The spelling of 60488960 in words is "sixty million, four hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 157 160 172 215 224 256 280 301 314 320 344 430 448 560 602 628 640 688 785 860 896 1099 1120 1204 1256 1280 1376 1505 1570 1720 1792 2198 2240 2408 2512 2752 3010 3140 3440 4396 4480 4816 5024 5495 5504 6020 6280 6751 6880 8792 8960 9632 10048 10990 11008 12040 12560 13502 13760 17584 19264 20096 21980 24080 25120 27004 27520 33755 35168 38528 40192 43960 47257 48160 50240 54008 55040 67510 70336 77056 87920 94514 96320 100480 108016 135020 140672 175840 189028 192640 200960 216032 236285 270040 281344 351680 378056 385280 432064 472570 540080 703360 756112 864128 945140 1080160 1406720 1512224 1728256 1890280 2160320 3024448 3780560 4320640 6048896 7561120 8641280 12097792 15122240 30244480 60488960