Search a number
-
+
96849552 = 243107109173
BaseRepresentation
bin1011100010111…
…00111010010000
320202020110121110
411301130322100
5144243141202
613335453320
72254131132
oct561347220
9222213543
1096849552
114a73a558
1228527240
13170ac837
14cc11052
15878126c
hex5c5ce90

96849552 has 80 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 31504896.

The previous prime is 96849521. The next prime is 96849587. The reversal of 96849552 is 25594869.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (777600) is a multiple of the sum of its prime factors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559738 + ... + 559910.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 296849552 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 96849552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

96849552 is an abundant number, since it is smaller than the sum of its proper divisors (159473328).

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

96849552 is a wasteful number, since it uses less digits than its factorization.

96849552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 96849552 is about 9841.2169979124. The cubic root of 96849552 is about 459.2324186868.

The spelling of 96849552 in words is "ninety-six million, eight hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 109 173 214 218 321 327 346 428 436 519 642 654 692 856 872 1038 1284 1308 1384 1712 1744 2076 2568 2616 2768 4152 5136 5232 8304 11663 18511 18857 23326 34989 37022 37714 46652 55533 56571 69978 74044 75428 93304 111066 113142 139956 148088 150856 186608 222132 226284 279912 296176 301712 444264 452568 559824 888528 905136 2017699 4035398 6053097 8070796 12106194 16141592 24212388 32283184 48424776 96849552