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58771040 = 2551723141
BaseRepresentation
bin1110000000110…
…0011001100000
311002120212201012
43200030121200
5110021133130
65455400052
71312355066
oct340143140
9132525635
1058771040
11301a1609
1217823028
13c239783
147b3c036
15525d995
hex380c660

58771040 has 144 divisors (see below), whose sum is σ = 155965824. Its totient is φ = 20889600.

The previous prime is 58771033. The next prime is 58771051. The reversal of 58771040 is 4017785.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 58770988 and 58771006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433420 + ... + 1433460.

It is an arithmetic number, because the mean of its divisors is an integer number (1083096).

Almost surely, 258771040 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 58771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77982912).

58771040 is an abundant number, since it is smaller than the sum of its proper divisors (97194784).

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

58771040 is a wasteful number, since it uses less digits than its factorization.

58771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 58771040 is about 7666.2272337833. The cubic root of 58771040 is about 388.7954065854.

The spelling of 58771040 in words is "fifty-eight million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 41 62 68 80 82 85 124 136 155 160 164 170 205 248 272 289 310 328 340 410 496 527 544 578 620 656 680 697 820 992 1054 1156 1240 1271 1312 1360 1394 1445 1640 2108 2312 2480 2542 2635 2720 2788 2890 3280 3485 4216 4624 4960 5084 5270 5576 5780 6355 6560 6970 8432 8959 9248 10168 10540 11152 11560 11849 12710 13940 16864 17918 20336 21080 21607 22304 23120 23698 25420 27880 35836 40672 42160 43214 44795 46240 47396 50840 55760 59245 71672 84320 86428 89590 94792 101680 108035 111520 118490 143344 172856 179180 189584 203360 216070 236980 286688 345712 358360 367319 379168 432140 473960 691424 716720 734638 864280 947920 1433440 1469276 1728560 1836595 1895840 2938552 3457120 3673190 5877104 7346380 11754208 14692760 29385520 58771040