[go: up one dir, main page]

Search a number
-
+
58774368 = 253718623
BaseRepresentation
bin1110000000110…
…1001101100000
311002121001021110
43200031031200
5110021234433
65455423320
71312400562
oct340151540
9132531243
1058774368
11301a4064
1217824b40
13c23b143
147b3d332
15525e963
hex380d360

58774368 has 48 divisors (see below), whose sum is σ = 156473856. Its totient is φ = 19313280.

The previous prime is 58774367. The next prime is 58774381. The reversal of 58774368 is 86347785.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58774367) 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, 2505 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (3259872).

Almost surely, 258774368 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 58774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78236928).

58774368 is an abundant number, since it is smaller than the sum of its proper divisors (97699488).

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

58774368 is a wasteful number, since it uses less digits than its factorization.

58774368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707 (or 8699 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 58774368 is about 7666.4442866299. Note that the first 3 decimals coincide. The cubic root of 58774368 is about 388.8027451584.

The spelling of 58774368 in words is "fifty-eight million, seven hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 8623 17246 25869 34492 51738 68984 103476 137968 206952 275936 413904 612233 827808 1224466 1836699 2448932 3673398 4897864 7346796 9795728 14693592 19591456 29387184 58774368