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60642944 = 271729312
BaseRepresentation
bin1110011101010…
…1011010000000
311020002222110222
43213111122000
5111011033234
610003442212
71334312405
oct347253200
9136088428
1060642944
113125aa3a
1218386368
13c7437cb
1480a82ac
1554cd42e
hex39d5680

60642944 has 96 divisors (see below), whose sum is σ = 136736100. Its totient is φ = 26664960.

The previous prime is 60642937. The next prime is 60642947. The reversal of 60642944 is 44924606.

It can be written as a sum of positive squares in 2 ways, for example, as 59105344 + 1537600 = 7688^2 + 1240^2 .

It is not an unprimeable number, because it can be changed into a prime (60642947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1956209 + ... + 1956239.

Almost surely, 260642944 is an apocalyptic number.

60642944 is a gapful number since it is divisible by the number (64) 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 60642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68368050).

60642944 is an abundant number, since it is smaller than the sum of its proper divisors (76093156).

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

60642944 is a wasteful number, since it uses less digits than its factorization.

60642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 60642944 is about 7787.3579601814. The cubic root of 60642944 is about 392.8801547607.

The spelling of 60642944 in words is "sixty million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 128 136 232 248 272 464 493 496 527 544 899 928 961 986 992 1054 1088 1798 1856 1922 1972 1984 2108 2176 3596 3712 3844 3944 3968 4216 7192 7688 7888 8432 14384 15283 15376 15776 16337 16864 27869 28768 30566 30752 31552 32674 33728 55738 57536 61132 61504 63104 65348 67456 111476 115072 122264 123008 130696 222952 244528 261392 445904 473773 489056 522784 891808 947546 978112 1045568 1783616 1895092 1956224 2091136 3567232 3790184 7580368 15160736 30321472 60642944