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58309440 = 263578677
BaseRepresentation
bin1101111001101…
…1101101000000
311001201102111220
43132123231000
5104411400230
65441435040
71305423240
oct336335500
9131642456
1058309440
112aa06822
121763ba80
13c107637
147a5bb20
1551bbd10
hex379bb40

58309440 has 112 divisors (see below), whose sum is σ = 211604352. Its totient is φ = 13326336.

The previous prime is 58309411. The next prime is 58309451. The reversal of 58309440 is 4490385.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×583094402 = 6799981586227200, which contains 22 as substring.

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, 2382 + ... + 11058.

Almost surely, 258309440 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 58309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105802176).

58309440 is an abundant number, since it is smaller than the sum of its proper divisors (153294912).

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

58309440 is a wasteful number, since it uses less digits than its factorization.

58309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 58309440 is about 7636.0618122171. The cubic root of 58309440 is about 387.7748365888.

The spelling of 58309440 in words is "fifty-eight million, three hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 8677 17354 26031 34708 43385 52062 60739 69416 86770 104124 121478 130155 138832 173540 182217 208248 242956 260310 277664 303695 347080 364434 416496 485912 520620 555328 607390 694160 728868 832992 911085 971824 1041240 1214780 1388320 1457736 1665984 1822170 1943648 2082480 2429560 2776640 2915472 3644340 3887296 4164960 4859120 5830944 7288680 8329920 9718240 11661888 14577360 19436480 29154720 58309440