Search a number
-
+
5058619392 = 21135691447
BaseRepresentation
bin1001011011000010…
…00110100000000000
3111001112200111020210
410231201012200000
540330001310032
62153543434120
7236233361331
oct45541064000
914045614223
105058619392
112166505692
12b92155940
13628044318
1435dba0288
151e91852cc
hex12d846800

5058619392 has 96 divisors (see below), whose sum is σ = 13519396800. Its totient is φ = 1682079744.

The previous prime is 5058619367. The next prime is 5058619393. The reversal of 5058619392 is 2939168505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (5058619393) 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, 3495213 + ... + 3496659.

It is an arithmetic number, because the mean of its divisors is an integer number (140827050).

Almost surely, 25058619392 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 5058619392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759698400).

5058619392 is an abundant number, since it is smaller than the sum of its proper divisors (8460777408).

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

5058619392 is a wasteful number, since it uses less digits than its factorization.

5058619392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5058619392 is about 71123.9719925708. The cubic root of 5058619392 is about 1716.6325171368.

The spelling of 5058619392 in words is "five billion, fifty-eight million, six hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 569 768 1024 1138 1447 1536 1707 2048 2276 2894 3072 3414 4341 4552 5788 6144 6828 8682 9104 11576 13656 17364 18208 23152 27312 34728 36416 46304 54624 69456 72832 92608 109248 138912 145664 185216 218496 277824 291328 370432 436992 555648 582656 740864 823343 873984 1111296 1165312 1481728 1646686 1747968 2222592 2470029 2963456 3293372 3495936 4445184 4940058 6586744 8890368 9880116 13173488 19760232 26346976 39520464 52693952 79040928 105387904 158081856 210775808 316163712 421551616 632327424 843103232 1264654848 1686206464 2529309696 5058619392