Search a number
-
+
154842432 = 2635913669
BaseRepresentation
bin10010011101010…
…11010101000000
3101210100210212220
421032223111000
5304114424212
623210451040
73560065443
oct1116532500
9353323786
10154842432
117a44a458
1243a33a80
1326106054
14167c965a
15d8d938c
hex93ab540

154842432 has 56 divisors (see below), whose sum is σ = 416661600. Its totient is φ = 50735616.

The previous prime is 154842421. The next prime is 154842433. The reversal of 154842432 is 234248451.

154842432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154842393 and 154842402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154842433) 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, 4494 + ... + 18162.

Almost surely, 2154842432 is an apocalyptic number.

154842432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208330800).

154842432 is an abundant number, since it is smaller than the sum of its proper divisors (261819168).

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

154842432 is a wasteful number, since it uses less digits than its factorization.

154842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13743 (or 13733 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 154842432 is about 12443.5699057786. The cubic root of 154842432 is about 536.9864510451.

The spelling of 154842432 in words is "one hundred fifty-four million, eight hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 13669 27338 41007 54676 82014 109352 164028 218704 328056 437408 656112 806471 874816 1312224 1612942 2419413 2624448 3225884 4838826 6451768 9677652 12903536 19355304 25807072 38710608 51614144 77421216 154842432