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60949056 = 2637101449
BaseRepresentation
bin1110100010000…
…0001001000000
311020200112101110
43220200021000
5111100332211
610014203320
71340026020
oct350401100
9136615343
1060949056
1131449a23
12184b3540
13c81cc3c
148147a80
15553dea6
hex3a20240

60949056 has 112 divisors (see below), whose sum is σ = 186537600. Its totient is φ = 17203200.

The previous prime is 60949051. The next prime is 60949067. The reversal of 60949056 is 65094906.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×609490562 = 7429574854582272, which contains 22 as substring.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (60949051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135520 + ... + 135968.

Almost surely, 260949056 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 60949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268800).

60949056 is an abundant number, since it is smaller than the sum of its proper divisors (125588544).

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

60949056 is a wasteful number, since it uses less digits than its factorization.

60949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 60949056 is about 7806.9876392883. The cubic root of 60949056 is about 393.5401025914.

The spelling of 60949056 in words is "sixty million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 449 606 672 707 808 898 1212 1344 1347 1414 1616 1796 2121 2424 2694 2828 3143 3232 3592 4242 4848 5388 5656 6286 6464 7184 8484 9429 9696 10776 11312 12572 14368 16968 18858 19392 21552 22624 25144 28736 33936 37716 43104 45248 45349 50288 67872 75432 86208 90698 100576 135744 136047 150864 181396 201152 272094 301728 317443 362792 544188 603456 634886 725584 952329 1088376 1269772 1451168 1904658 2176752 2539544 2902336 3809316 4353504 5079088 7618632 8707008 10158176 15237264 20316352 30474528 60949056