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77114492 = 227132361151
BaseRepresentation
bin1001001100010…
…10110001111100
312101002211012022
410212022301330
5124220130432
611352455312
71624314410
oct446126174
9171084168
1077114492
113a590294
12219aa538
1312c8cba0
14a354d40
156b83b12
hex498ac7c

77114492 has 96 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 28512000.

The previous prime is 77114473. The next prime is 77114519. The reversal of 77114492 is 29441177.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510617 + ... + 510767.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 277114492 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 77114492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

77114492 is an abundant number, since it is smaller than the sum of its proper divisors (100207492).

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

77114492 is a wasteful number, since it uses less digits than its factorization.

77114492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 77114492 is about 8781.4857512838. The cubic root of 77114492 is about 425.6428417004.

The spelling of 77114492 in words is "seventy-seven million, one hundred fourteen thousand, four hundred ninety-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 61 91 92 122 151 161 182 244 299 302 322 364 427 598 604 644 793 854 1057 1196 1403 1586 1708 1963 2093 2114 2806 3172 3473 3926 4186 4228 5551 5612 6946 7852 8372 9211 9821 11102 13741 13892 18239 18422 19642 22204 24311 27482 36478 36844 39284 45149 48622 54964 64477 72956 90298 97244 119743 127673 128954 180596 211853 239486 255346 257908 316043 423706 478972 510692 632086 838201 847412 1264172 1482971 1676402 2754089 2965942 3352804 5508178 5931884 11016356 19278623 38557246 77114492