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58485440 = 2651317827
BaseRepresentation
bin1101111100011…
…0101011000000
311002001100221102
43133012223000
5104433013230
65445313532
71310055326
oct337065300
9132040842
1058485440
1130016a82
12177058a8
13c169790
147aa5d16
155204045
hex37c6ac0

58485440 has 112 divisors (see below), whose sum is σ = 158995872. Its totient is φ = 20299776.

The previous prime is 58485433. The next prime is 58485463. The reversal of 58485440 is 4458485.

It is a happy number.

58485440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58485394 and 58485403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70307 + ... + 71133.

It is an arithmetic number, because the mean of its divisors is an integer number (1419606).

Almost surely, 258485440 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 58485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79497936).

58485440 is an abundant number, since it is smaller than the sum of its proper divisors (100510432).

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

58485440 is a wasteful number, since it uses less digits than its factorization.

58485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 58485440 is about 7647.5773941818. The cubic root of 58485440 is about 388.1645952035.

The spelling of 58485440 in words is "fifty-eight million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 827 832 884 1040 1088 1105 1360 1654 1768 2080 2210 2720 3308 3536 4135 4160 4420 5440 6616 7072 8270 8840 10751 13232 14059 14144 16540 17680 21502 26464 28118 33080 35360 43004 52928 53755 56236 66160 70295 70720 86008 107510 112472 132320 140590 172016 182767 215020 224944 264640 281180 344032 365534 430040 449888 562360 688064 731068 860080 899776 913835 1124720 1462136 1720160 1827670 2249440 2924272 3440320 3655340 4498880 5848544 7310680 11697088 14621360 29242720 58485440