Search a number
-
+
154778442 = 23713674231
BaseRepresentation
bin10010011100110…
…11101101001010
3101210020120002220
421032123231022
5304110402232
623205234510
73556411050
oct1116335512
9353216086
10154778442
117a406375
1243a02a36
13260b2ba0
14167b01d0
15d8c542c
hex939bb4a

154778442 has 64 divisors (see below), whose sum is σ = 386770944. Its totient is φ = 40201920.

The previous prime is 154778413. The next prime is 154778447. The reversal of 154778442 is 244877451.

It is a super-2 number, since 2×1547784422 = 47912732215894728, which contains 22 as substring.

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 = 154778394 and 154778403.

It is not an unprimeable number, because it can be changed into a prime (154778447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34467 + ... + 38697.

It is an arithmetic number, because the mean of its divisors is an integer number (6043296).

Almost surely, 2154778442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154778442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193385472).

154778442 is an abundant number, since it is smaller than the sum of its proper divisors (231992502).

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

154778442 is a wasteful number, since it uses less digits than its factorization.

154778442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323.

The product of its digits is 250880, while the sum is 42.

The square root of 154778442 is about 12440.9984326018. The cubic root of 154778442 is about 536.9124693914.

Subtracting 154778442 from its reverse (244877451), we obtain a palindrome (90099009).

The spelling of 154778442 in words is "one hundred fifty-four million, seven hundred seventy-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 67 78 91 134 182 201 273 402 469 546 871 938 1407 1742 2613 2814 4231 5226 6097 8462 12194 12693 18291 25386 29617 36582 55003 59234 88851 110006 165009 177702 283477 330018 385021 566954 770042 850431 1155063 1700862 1984339 2310126 3685201 3968678 5953017 7370402 11055603 11906034 22111206 25796407 51592814 77389221 154778442