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58441040 = 2457791321
BaseRepresentation
bin1101111011101…
…1110101010000
311001222010000222
43132323311100
5104430103130
65444332212
71306512020
oct336736520
9131863028
1058441040
112aa96689
12176a4068
13c1524c8
147a93a80
1551e5ce5
hex37bbd50

58441040 has 80 divisors (see below), whose sum is σ = 157370880. Its totient is φ = 19768320.

The previous prime is 58441037. The next prime is 58441051. The reversal of 58441040 is 4014485.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 43580 + ... + 44900.

It is an arithmetic number, because the mean of its divisors is an integer number (1967136).

Almost surely, 258441040 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 58441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78685440).

58441040 is an abundant number, since it is smaller than the sum of its proper divisors (98929840).

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

58441040 is a wasteful number, since it uses less digits than its factorization.

58441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 58441040 is about 7644.6739629627. The cubic root of 58441040 is about 388.0663435638.

The spelling of 58441040 in words is "fifty-eight million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1321 1580 2212 2642 2765 3160 4424 5284 5530 6320 6605 8848 9247 10568 11060 13210 18494 21136 22120 26420 36988 44240 46235 52840 73976 92470 104359 105680 147952 184940 208718 369880 417436 521795 730513 739760 834872 1043590 1461026 1669744 2087180 2922052 3652565 4174360 5844104 7305130 8348720 11688208 14610260 29220520 58441040