Search a number
-
+
87741456 = 24311215107
BaseRepresentation
bin1010011101011…
…01010000010000
320010002201122120
411032231100100
5134430211311
612412334240
72113534665
oct516552020
9203081576
1087741456
1145589500
1225474380
1315240c2a
14b91da6c
157a82706
hex53ad410

87741456 has 60 divisors (see below), whose sum is σ = 249161136. Its totient is φ = 26586560.

The previous prime is 87741431. The next prime is 87741461. The reversal of 87741456 is 65414778.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746 + ... + 13361.

Almost surely, 287741456 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 87741456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124580568).

87741456 is an abundant number, since it is smaller than the sum of its proper divisors (161419680).

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

87741456 is a wasteful number, since it uses less digits than its factorization.

87741456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 15123 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 87741456 is about 9367.0409415140. The cubic root of 87741456 is about 444.3599872480.

The spelling of 87741456 in words is "eighty-seven million, seven hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 15107 30214 45321 60428 90642 120856 166177 181284 241712 332354 362568 498531 664708 725136 997062 1329416 1827947 1994124 2658832 3655894 3988248 5483841 7311788 7976496 10967682 14623576 21935364 29247152 43870728 87741456