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58849240 = 23517372339
BaseRepresentation
bin1110000001111…
…1011111011000
311002201211222111
43200133133120
5110031133430
65501202104
71313132062
oct340373730
9132654874
1058849240
113024533a
1217860334
13c266248
147b5c732
155276c2a
hex381f7d8

58849240 has 64 divisors (see below), whose sum is σ = 144050400. Its totient is φ = 21547008.

The previous prime is 58849211. The next prime is 58849243. The reversal of 58849240 is 4294885.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 58849193 and 58849202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58849243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23991 + ... + 26329.

Almost surely, 258849240 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 58849240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72025200).

58849240 is an abundant number, since it is smaller than the sum of its proper divisors (85201160).

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

58849240 is a wasteful number, since it uses less digits than its factorization.

58849240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 58849240 is about 7671.3258306501. The cubic root of 58849240 is about 388.9677722368.

The spelling of 58849240 in words is "fifty-eight million, eight hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2339 2516 3145 4678 5032 6290 9356 11695 12580 18712 23390 25160 39763 46780 79526 86543 93560 159052 173086 198815 318104 346172 397630 432715 692344 795260 865430 1471231 1590520 1730860 2942462 3461720 5884924 7356155 11769848 14712310 29424620 58849240