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76948014 = 231121331263
BaseRepresentation
bin1001001011000…
…10001000101110
312100210100211110
410211202020232
5124144314024
611345132450
71623022143
oct445421056
9170710743
1076948014
113a487200
122192a126
1312c32190
14a3103ca
156b4e629
hex496222e

76948014 has 96 divisors (see below), whose sum is σ = 188762112. Its totient is φ = 20750400.

The previous prime is 76948013. The next prime is 76948019. The reversal of 76948014 is 41084967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76948013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292447 + ... + 292709.

It is an arithmetic number, because the mean of its divisors is an integer number (1966272).

Almost surely, 276948014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76948014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94381056).

76948014 is an abundant number, since it is smaller than the sum of its proper divisors (111814098).

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

76948014 is a wasteful number, since it uses less digits than its factorization.

76948014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 76948014 is about 8772.0017099862. The cubic root of 76948014 is about 425.3363224787.

The spelling of 76948014 in words is "seventy-six million, nine hundred forty-eight thousand, fourteen".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 121 143 186 242 263 286 341 363 403 429 526 682 726 789 806 858 1023 1209 1573 1578 2046 2418 2893 3146 3419 3751 4433 4719 5786 6838 7502 8153 8679 8866 9438 10257 11253 13299 16306 17358 20514 22506 24459 26598 31823 37609 48763 48918 63646 75218 89683 95469 97526 105989 112827 146289 179366 190938 211978 225654 269049 292578 317967 413699 538098 635934 827398 986513 1165879 1241097 1973026 2331758 2482194 2959539 3497637 5919078 6995274 12824669 25649338 38474007 76948014