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293116488 = 233715711113
BaseRepresentation
bin10001011110001…
…001101001001000
3202102112212020020
4101132021221020
51100014211423
645030300440
710156310010
oct2136115110
9672485206
10293116488
11140502835
12821b7720
134895a912
142ad00c40
151aaee4e3
hex11789a48

293116488 has 64 divisors (see below), whose sum is σ = 842885760. Its totient is φ = 83206656.

The previous prime is 293116469. The next prime is 293116507. The reversal of 293116488 is 884611392.

It is an interprime number because it is at equal distance from previous prime (293116469) and next prime (293116507).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20820 + ... + 31932.

It is an arithmetic number, because the mean of its divisors is an integer number (13170090).

Almost surely, 2293116488 is an apocalyptic number.

293116488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293116488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421442880).

293116488 is an abundant number, since it is smaller than the sum of its proper divisors (549769272).

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

293116488 is a wasteful number, since it uses less digits than its factorization.

293116488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11282 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 293116488 is about 17120.6450813046. The cubic root of 293116488 is about 664.2732279040.

The spelling of 293116488 in words is "two hundred ninety-three million, one hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 11113 13188 22226 26376 33339 44452 66678 77791 88904 133356 155582 233373 266712 311164 466746 622328 933492 1744741 1866984 3489482 5234223 6978964 10468446 12213187 13957928 20936892 24426374 36639561 41873784 48852748 73279122 97705496 146558244 293116488