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58742376 = 233721119239
BaseRepresentation
bin1110000000010…
…1011001101000
311002112102101120
43200011121220
5110014224001
65455015240
71312205400
oct340053150
9132472346
1058742376
1130182020
121780a520
13c229704
147b31800
155255236
hex3805668

58742376 has 192 divisors, whose sum is σ = 196992000. Its totient is φ = 14394240.

The previous prime is 58742363. The next prime is 58742399. The reversal of 58742376 is 67324785.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245665 + ... + 245903.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 258742376 is an apocalyptic number.

58742376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58742376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

58742376 is an abundant number, since it is smaller than the sum of its proper divisors (138249624).

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

58742376 is a wasteful number, since it uses less digits than its factorization.

58742376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 58742376 is about 7664.3575073192. The cubic root of 58742376 is about 388.7321881260.

58742376 divided by its sum of digits (42) gives a triangular number (1398628 = T1672).

The spelling of 58742376 in words is "fifty-eight million, seven hundred forty-two thousand, three hundred seventy-six".