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76821048 = 233543919
BaseRepresentation
bin1001001010000…
…11001000111000
312100112220200000
410211003020320
5124131233143
611342313000
71621653033
oct445031070
9170486600
1076821048
113a3aa877
1221888760
1312bb9455
14a2ba01a
156b26bd3
hex4943238

76821048 has 96 divisors (see below), whose sum is σ = 221020800. Its totient is φ = 24984288.

The previous prime is 76821023. The next prime is 76821071. The reversal of 76821048 is 84012867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83133 + ... + 84051.

It is an arithmetic number, because the mean of its divisors is an integer number (2302300).

Almost surely, 276821048 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 76821048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110510400).

76821048 is an abundant number, since it is smaller than the sum of its proper divisors (144199752).

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

76821048 is a wasteful number, since it uses less digits than its factorization.

76821048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76821048 is about 8764.7617195221. The cubic root of 76821048 is about 425.1022554414.

The spelling of 76821048 in words is "seventy-six million, eight hundred twenty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 919 972 1032 1161 1548 1838 1944 2322 2757 3096 3483 3676 4644 5514 6966 7352 8271 9288 10449 11028 13932 16542 20898 22056 24813 27864 33084 39517 41796 49626 66168 74439 79034 83592 99252 118551 148878 158068 198504 223317 237102 297756 316136 355653 446634 474204 595512 711306 893268 948408 1066959 1422612 1786536 2133918 2845224 3200877 4267836 6401754 8535672 9602631 12803508 19205262 25607016 38410524 76821048