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58969296 = 243529523
BaseRepresentation
bin1110000011110…
…0110011010000
311002221221200000
43200330303100
5110044004141
65503530000
71314142101
oct340746320
9132857600
1058969296
1130317561
12178b9900
13c2a8a99
147b903a8
15529c5b6
hex383ccd0

58969296 has 120 divisors (see below), whose sum is σ = 177384480. Its totient is φ = 18942336.

The previous prime is 58969289. The next prime is 58969333. The reversal of 58969296 is 69296985.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

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, 112491 + ... + 113013.

It is an arithmetic number, because the mean of its divisors is an integer number (1478204).

Almost surely, 258969296 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 58969296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88692240).

58969296 is an abundant number, since it is smaller than the sum of its proper divisors (118415184).

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

58969296 is a wasteful number, since it uses less digits than its factorization.

58969296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 58969296 is about 7679.1468276105. The cubic root of 58969296 is about 389.2320984784.

The spelling of 58969296 in words is "fifty-eight million, nine hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 523 648 696 783 972 1044 1046 1296 1392 1566 1569 1944 2088 2092 2349 3132 3138 3888 4176 4184 4698 4707 6264 6276 7047 8368 9396 9414 12528 12552 14094 14121 15167 18792 18828 25104 28188 28242 30334 37584 37656 42363 45501 56376 56484 60668 75312 84726 91002 112752 112968 121336 127089 136503 169452 182004 225936 242672 254178 273006 338904 364008 409509 508356 546012 677808 728016 819018 1016712 1092024 1228527 1638036 2033424 2184048 2457054 3276072 3685581 4914108 6552144 7371162 9828216 14742324 19656432 29484648 58969296