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797713416 = 2332231273793
BaseRepresentation
bin101111100011000…
…010010000001000
32001121001001002100
4233203002100020
53113203312131
6211053433400
725524311043
oct5743022010
92047031070
10797713416
1137a319995
121a319b860
13c9362196
1477d31c5a
154a0747e6
hex2f8c2408

797713416 has 96 divisors (see below), whose sum is σ = 2272757760. Its totient is φ = 252274176.

The previous prime is 797713381. The next prime is 797713417. The reversal of 797713416 is 614317797.

It is a happy number.

It is a super-4 number, since 4×7977134164 (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (797713417) 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 23 ways as a sum of consecutive naturals, for example, 208416 + ... + 212208.

It is an arithmetic number, because the mean of its divisors is an integer number (23674560).

Almost surely, 2797713416 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 797713416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136378880).

797713416 is an abundant number, since it is smaller than the sum of its proper divisors (1475044344).

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

797713416 is a wasteful number, since it uses less digits than its factorization.

797713416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3948 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 797713416 is about 28243.8208463373. The cubic root of 797713416 is about 927.4324741660.

The spelling of 797713416 in words is "seven hundred ninety-seven million, seven hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 127 138 184 207 254 276 381 414 508 552 762 828 1016 1143 1524 1656 2286 2921 3048 3793 4572 5842 7586 8763 9144 11379 11684 15172 17526 22758 23368 26289 30344 34137 35052 45516 52578 68274 70104 87239 91032 105156 136548 174478 210312 261717 273096 348956 481711 523434 697912 785151 963422 1046868 1445133 1570302 1926844 2093736 2890266 3140604 3853688 4335399 5780532 6281208 8670798 11079353 11561064 17341596 22158706 33238059 34683192 44317412 66476118 88634824 99714177 132952236 199428354 265904472 398856708 797713416