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61287296 = 27773937
BaseRepresentation
bin1110100111001…
…0101110000000
311021022201100212
43221302232000
5111142143141
610025333252
71342635110
oct351625600
9137281325
1061287296
1131660064
1218637228
13c90ab95
1481d5040
1555a92eb
hex3a72b80

61287296 has 64 divisors (see below), whose sum is σ = 141600480. Its totient is φ = 25878528.

The previous prime is 61287287. The next prime is 61287301. The reversal of 61287296 is 69278216.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×612872962 = 7512265301983232, which contains 22 as substring.

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, 64940 + ... + 65876.

Almost surely, 261287296 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 61287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70800240).

61287296 is an abundant number, since it is smaller than the sum of its proper divisors (80313184).

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

61287296 is an equidigital number, since it uses as much as digits as its factorization.

61287296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 61287296 is about 7828.6203126732. The cubic root of 61287296 is about 394.2667505707.

The spelling of 61287296 in words is "sixty-one million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 937 1022 1168 1874 2044 2336 3748 4088 4672 6559 7496 8176 9344 13118 14992 16352 26236 29984 32704 52472 59968 65408 68401 104944 119936 136802 209888 273604 419776 478807 547208 839552 957614 1094416 1915228 2188832 3830456 4377664 7660912 8755328 15321824 30643648 61287296