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76680048 = 24319831013
BaseRepresentation
bin1001001001000…
…00101101110000
312100021202020210
410210200231300
5124112230143
611335304120
71620524664
oct444405560
9170252223
1076680048
113a313945
122181b040
1312b6a213
14a2808a4
156aea033
hex4920b70

76680048 has 80 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 23899392.

The previous prime is 76680041. The next prime is 76680053. The reversal of 76680048 is 84008667.

It is a super-2 number, since 2×766800482 = 11759659522564608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76679988 and 76680015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76680041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75190 + ... + 76202.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 276680048 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 76680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

76680048 is an abundant number, since it is smaller than the sum of its proper divisors (134556432).

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

76680048 is a wasteful number, since it uses less digits than its factorization.

76680048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76680048 is about 8756.7144523503. The cubic root of 76680048 is about 424.8420137123.

The spelling of 76680048 in words is "seventy-six million, six hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1013 1328 1577 1992 2026 3039 3154 3984 4052 4731 6078 6308 8104 9462 12156 12616 16208 18924 19247 24312 25232 37848 38494 48624 57741 75696 76988 84079 115482 153976 168158 230964 252237 307952 336316 461928 504474 672632 923856 1008948 1345264 1597501 2017896 3195002 4035792 4792503 6390004 9585006 12780008 19170012 25560016 38340024 76680048