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60661248 = 29373541
BaseRepresentation
bin1110011101100…
…1111000000000
311020010220120220
43213121320000
5111012124443
610004103040
71334416644
oct347317000
9136126526
1060661248
113127276a
1218394a80
13c74bc3b
1480b0c24
1554d3a83
hex39d9e00

60661248 has 80 divisors (see below), whose sum is σ = 164121936. Its totient is φ = 19906560.

The previous prime is 60661229. The next prime is 60661259. The reversal of 60661248 is 84216606.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111858 + ... + 112398.

Almost surely, 260661248 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 60661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82060968).

60661248 is an abundant number, since it is smaller than the sum of its proper divisors (103460688).

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

60661248 is an equidigital number, since it uses as much as digits as its factorization.

60661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 60661248 is about 7788.5331096427. The cubic root of 60661248 is about 392.9196787595.

The spelling of 60661248 in words is "sixty million, six hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 541 584 768 876 1082 1168 1536 1623 1752 2164 2336 3246 3504 4328 4672 6492 7008 8656 9344 12984 14016 17312 18688 25968 28032 34624 37376 39493 51936 56064 69248 78986 103872 112128 118479 138496 157972 207744 236958 276992 315944 415488 473916 631888 830976 947832 1263776 1895664 2527552 3791328 5055104 7582656 10110208 15165312 20220416 30330624 60661248