Search a number
-
+
1454474742 = 2372431031117
BaseRepresentation
bin101011010110001…
…1000010111110110
310202100211222020220
41112230120113312
510434321142432
6400154235210
751020555100
oct12654302766
93670758226
101454474742
11687016446
12347125b06
131a2442856
14db252570
1587a5572c
hex56b185f6

1454474742 has 96 divisors (see below), whose sum is σ = 3499322112. Its totient is φ = 401599296.

The previous prime is 1454474717. The next prime is 1454474743. The reversal of 1454474742 is 2474744541.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1454474694 and 1454474703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454474743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301568 + ... + 1302684.

It is an arithmetic number, because the mean of its divisors is an integer number (36451272).

Almost surely, 21454474742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454474742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749661056).

1454474742 is an abundant number, since it is smaller than the sum of its proper divisors (2044847370).

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

1454474742 is a wasteful number, since it uses less digits than its factorization.

1454474742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1275 counting only the distinct ones).

The product of its digits is 501760, while the sum is 42.

The square root of 1454474742 is about 38137.5765092645. The cubic root of 1454474742 is about 1133.0143088407.

The spelling of 1454474742 in words is "one billion, four hundred fifty-four million, four hundred seventy-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 103 129 147 206 258 294 301 309 602 618 721 903 1117 1442 1806 2107 2163 2234 3351 4214 4326 4429 5047 6321 6702 7819 8858 10094 12642 13287 15141 15638 23457 26574 30282 31003 46914 48031 54733 62006 93009 96062 109466 115051 144093 164199 186018 217021 230102 288186 328398 336217 345153 434042 651063 672434 690306 805357 1008651 1302126 1610714 2017302 2353519 2416071 4707038 4832142 4947193 5637499 7060557 9894386 11274998 14121114 14841579 16912497 29683158 33824994 34630351 69260702 103891053 207782106 242412457 484824914 727237371 1454474742