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58478496 = 2531075693
BaseRepresentation
bin1101111100010…
…0111110100000
311002001000102020
43133010332200
5104432302441
65445221440
71310026146
oct337047640
9132030366
1058478496
113001183a
1217701880
13c16657b
147aa3596
155201e66
hex37c4fa0

58478496 has 48 divisors (see below), whose sum is σ = 154967904. Its totient is φ = 19307264.

The previous prime is 58478491. The next prime is 58478503. The reversal of 58478496 is 69487485.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (58478491) 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, 7426 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (3228498).

Almost surely, 258478496 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 58478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952).

58478496 is an abundant number, since it is smaller than the sum of its proper divisors (96489408).

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

58478496 is a wasteful number, since it uses less digits than its factorization.

58478496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5805 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 58478496 is about 7647.1233807230. The cubic root of 58478496 is about 388.1492322822.

The spelling of 58478496 in words is "fifty-eight million, four hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 5693 10272 11386 17079 22772 34158 45544 68316 91088 136632 182176 273264 546528 609151 1218302 1827453 2436604 3654906 4873208 7309812 9746416 14619624 19492832 29239248 58478496