Search a number
-
+
58629408 = 2534011523
BaseRepresentation
bin1101111110100…
…1110100100000
311002022200102120
43133221310200
5110002120113
65452344240
71311225135
oct337516440
9132280376
1058629408
1130105162
1217775080
13c1ba176
147b0258c
155231a23
hex37e9d20

58629408 has 48 divisors (see below), whose sum is σ = 154387296. Its totient is φ = 19481600.

The previous prime is 58629407. The next prime is 58629427. The reversal of 58629408 is 80492685.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58629408.

It is not an unprimeable number, because it can be changed into a prime (58629407) 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, 37735 + ... + 39257.

It is an arithmetic number, because the mean of its divisors is an integer number (3216402).

Almost surely, 258629408 is an apocalyptic number.

It is an amenable number.

58629408 is an abundant number, since it is smaller than the sum of its proper divisors (95757888).

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

58629408 is a wasteful number, since it uses less digits than its factorization.

58629408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58629408 is about 7656.9842627499. The cubic root of 58629408 is about 388.4828367400.

The spelling of 58629408 in words is "fifty-eight million, six hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1203 1523 1604 2406 3046 3208 4569 4812 6092 6416 9138 9624 12184 12832 18276 19248 24368 36552 38496 48736 73104 146208 610723 1221446 1832169 2442892 3664338 4885784 7328676 9771568 14657352 19543136 29314704 58629408