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62984142 = 236133323
BaseRepresentation
bin1111000001000…
…0111111001110
311101111221000000
43300100333032
5112110443032
610125545130
71363233144
oct360207716
9141457000
1062984142
1132609a11
12191151a6
1310083330
148517594
1557e1e7c
hex3c10fce

62984142 has 56 divisors (see below), whose sum is σ = 152591544. Its totient is φ = 19373904.

The previous prime is 62984123. The next prime is 62984153. The reversal of 62984142 is 24148926.

It is a junction number, because it is equal to n+sod(n) for n = 62984097 and 62984106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17293 + ... + 20615.

It is an arithmetic number, because the mean of its divisors is an integer number (2724849).

Almost surely, 262984142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62984142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76295772).

62984142 is an abundant number, since it is smaller than the sum of its proper divisors (89607402).

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

62984142 is a wasteful number, since it uses less digits than its factorization.

62984142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3341 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 62984142 is about 7936.2549102206. The cubic root of 62984142 is about 397.8723318032.

It can be divided in two parts, 6298 and 4142, that added together give a triangular number (10440 = T144).

The spelling of 62984142 in words is "sixty-two million, nine hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 3323 6318 6646 9477 9969 18954 19938 29907 43199 59814 86398 89721 129597 179442 259194 269163 388791 538326 777582 807489 1166373 1614978 2332746 2422467 3499119 4844934 6998238 10497357 20994714 31492071 62984142