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58831040 = 2651571171
BaseRepresentation
bin1110000001101…
…1000011000000
311002200221000102
43200123003000
5110030043130
65500541532
71313025032
oct340330300
9132627012
1058831040
11302326a4
12178518a8
13c25ab88
147b55c52
155271645
hex381b0c0

58831040 has 56 divisors (see below), whose sum is σ = 141104112. Its totient is φ = 23362560.

The previous prime is 58831039. The next prime is 58831043. The reversal of 58831040 is 4013885.

It is a super-2 number, since 2×588310402 = 6922182534963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58830994 and 58831012.

It is not an unprimeable number, because it can be changed into a prime (58831043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49655 + ... + 50825.

Almost surely, 258831040 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 58831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70552056).

58831040 is an abundant number, since it is smaller than the sum of its proper divisors (82273072).

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

58831040 is a wasteful number, since it uses less digits than its factorization.

58831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 58831040 is about 7670.1395032946. The cubic root of 58831040 is about 388.9276700856.

The spelling of 58831040 in words is "fifty-eight million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1171 1256 1570 2342 2512 3140 4684 5024 5855 6280 9368 10048 11710 12560 18736 23420 25120 37472 46840 50240 74944 93680 183847 187360 367694 374720 735388 919235 1470776 1838470 2941552 3676940 5883104 7353880 11766208 14707760 29415520 58831040