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58909896 = 23331761263
BaseRepresentation
bin1110000010111…
…0010011001000
311002211221012000
43200232103020
5110040104041
65502351000
71313503653
oct340562310
9132757160
1058909896
1130286971
121788b460
13c287a36
147b7689a
155289bb6
hex382e4c8

58909896 has 128 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 18109440.

The previous prime is 58909859. The next prime is 58909909. The reversal of 58909896 is 69890985.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 223861 + ... + 224123.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 258909896 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 58909896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

58909896 is an abundant number, since it is smaller than the sum of its proper divisors (117864504).

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

58909896 is a wasteful number, since it uses less digits than its factorization.

58909896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 58909896 is about 7675.2782359990. The cubic root of 58909896 is about 389.1013629055.

The spelling of 58909896 in words is "fifty-eight million, nine hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 61 68 72 102 108 122 136 153 183 204 216 244 263 306 366 408 459 488 526 549 612 732 789 918 1037 1052 1098 1224 1464 1578 1647 1836 2074 2104 2196 2367 3111 3156 3294 3672 4148 4392 4471 4734 6222 6312 6588 7101 8296 8942 9333 9468 12444 13176 13413 14202 16043 17884 18666 18936 24888 26826 27999 28404 32086 35768 37332 40239 48129 53652 55998 56808 64172 74664 80478 96258 107304 111996 120717 128344 144387 160956 192516 223992 241434 272731 288774 321912 385032 433161 482868 545462 577548 818193 866322 965736 1090924 1155096 1636386 1732644 2181848 2454579 3272772 3465288 4909158 6545544 7363737 9818316 14727474 19636632 29454948 58909896