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76048980 = 22357225867
BaseRepresentation
bin1001000100001…
…10101001010100
312022002200120220
410202012221110
5123432031410
611313554340
71612256100
oct442065124
9168080526
1076048980
1139a227a7
12215759b0
13129a8bc7
14a158900
156a23070
hex4886a54

76048980 has 72 divisors (see below), whose sum is σ = 247711968. Its totient is φ = 17381952.

The previous prime is 76048979. The next prime is 76048981. The reversal of 76048980 is 8984067.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76048979) and next prime (76048981).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76048981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9994 + ... + 15873.

It is an arithmetic number, because the mean of its divisors is an integer number (3440444).

Almost surely, 276048980 is an apocalyptic number.

76048980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76048980 is an abundant number, since it is smaller than the sum of its proper divisors (171662988).

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

76048980 is a wasteful number, since it uses less digits than its factorization.

76048980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25893 (or 25884 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76048980 is about 8720.6066302752. The cubic root of 76048980 is about 423.6733347787.

It can be divided in two parts, 76048 and 980, that added together give a triangular number (77028 = T392).

The spelling of 76048980 in words is "seventy-six million, forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 25867 51734 77601 103468 129335 155202 181069 258670 310404 362138 388005 517340 543207 724276 776010 905345 1086414 1267483 1552020 1810690 2172828 2534966 2716035 3621380 3802449 5069932 5432070 6337415 7604898 10864140 12674830 15209796 19012245 25349660 38024490 76048980