[go: up one dir, main page]

Search a number
-
+
54738992 = 24711157283
BaseRepresentation
bin1101000011010…
…0000000110000
310211000000210002
43100310000300
5103003121432
65233125132
71233162620
oct320640060
9124000702
1054738992
1128998240
12163b97a8
13b457449
1473ac880
154c13e62
hex3434030

54738992 has 80 divisors (see below), whose sum is σ = 133539072. Its totient is φ = 21116160.

The previous prime is 54738991. The next prime is 54739001. The reversal of 54738992 is 29983745.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54738991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193283 + ... + 193565.

Almost surely, 254738992 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 54738992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769536).

54738992 is an abundant number, since it is smaller than the sum of its proper divisors (78800080).

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

54738992 is a wasteful number, since it uses less digits than its factorization.

54738992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 54738992 is about 7398.5804043749. The cubic root of 54738992 is about 379.6927155724.

The spelling of 54738992 in words is "fifty-four million, seven hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 157 176 283 308 314 566 616 628 1099 1132 1232 1256 1727 1981 2198 2264 2512 3113 3454 3962 4396 4528 6226 6908 7924 8792 12089 12452 13816 15848 17584 21791 24178 24904 27632 31696 43582 44431 48356 49808 87164 88862 96712 174328 177724 193424 311017 348656 355448 488741 622034 710896 977482 1244068 1954964 2488136 3421187 3909928 4976272 6842374 7819856 13684748 27369496 54738992