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58203040 = 2557157331
BaseRepresentation
bin1101111000000…
…1101110100000
311001112000120011
43132001232200
5104344444130
65435254304
71304501110
oct336015640
9131460504
1058203040
112a943895
12175aa394
13c09b08c
147a31040
15519a52a
hex3781ba0

58203040 has 96 divisors (see below), whose sum is σ = 158626944. Its totient is φ = 19768320.

The previous prime is 58203017. The next prime is 58203071. The reversal of 58203040 is 4030285.

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, 175675 + ... + 176005.

It is an arithmetic number, because the mean of its divisors is an integer number (1652364).

Almost surely, 258203040 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 58203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79313472).

58203040 is an abundant number, since it is smaller than the sum of its proper divisors (100423904).

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

58203040 is a wasteful number, since it uses less digits than its factorization.

58203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 58203040 is about 7629.0916890545. The cubic root of 58203040 is about 387.5388292689.

The spelling of 58203040 in words is "fifty-eight million, two hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 157 160 224 280 314 331 560 628 662 785 1099 1120 1256 1324 1570 1655 2198 2317 2512 2648 3140 3310 4396 4634 5024 5296 5495 6280 6620 8792 9268 10592 10990 11585 12560 13240 17584 18536 21980 23170 25120 26480 35168 37072 43960 46340 51967 52960 74144 87920 92680 103934 175840 185360 207868 259835 363769 370720 415736 519670 727538 831472 1039340 1455076 1662944 1818845 2078680 2910152 3637690 4157360 5820304 7275380 8314720 11640608 14550760 29101520 58203040