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58430720 = 285191239
BaseRepresentation
bin1101111011100…
…1010100000000
311001221120212202
43132321110000
5104424240340
65444212332
71306436645
oct336712400
9131846782
1058430720
112aa89957
121769a0a8
13c14a8ba
147a8ddcc
1551e2c15
hex37b9500

58430720 has 72 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 23152640.

The previous prime is 58430707. The next prime is 58430731. The reversal of 58430720 is 2703485.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244361 + ... + 244599.

It is an arithmetic number, because the mean of its divisors is an integer number (1962240).

Almost surely, 258430720 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 58430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

58430720 is an abundant number, since it is smaller than the sum of its proper divisors (82850560).

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

58430720 is a wasteful number, since it uses less digits than its factorization.

58430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 58430720 is about 7643.9989534275. The cubic root of 58430720 is about 388.0434995691.

The spelling of 58430720 in words is "fifty-eight million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 239 256 320 382 478 640 764 955 956 1195 1280 1528 1910 1912 2390 3056 3820 3824 4780 6112 7640 7648 9560 12224 15280 15296 19120 24448 30560 30592 38240 45649 48896 61120 61184 76480 91298 122240 152960 182596 228245 244480 305920 365192 456490 730384 912980 1460768 1825960 2921536 3651920 5843072 7303840 11686144 14607680 29215360 58430720