Search a number
-
+
551923968 = 2833719423
BaseRepresentation
bin100000111001011…
…011000100000000
31102110112122100110
4200321123010000
52112243031333
6130433351320
716451163531
oct4071330400
91373478313
10551923968
11263601712
12134a08540
138a46513b
1453430688
15336c3063
hex20e5b100

551923968 has 72 divisors (see below), whose sum is σ = 1508700928. Its totient is φ = 178993152.

The previous prime is 551923949. The next prime is 551924003. The reversal of 551923968 is 869329155.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18705 + ... + 38127.

Almost surely, 2551923968 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 551923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754350464).

551923968 is an abundant number, since it is smaller than the sum of its proper divisors (956776960).

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

551923968 is a wasteful number, since it uses less digits than its factorization.

551923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19479 (or 19465 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 551923968 is about 23493.0621248061. The cubic root of 551923968 is about 820.2755211361.

The spelling of 551923968 in words is "five hundred fifty-one million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 19423 28416 38846 58269 77692 116538 155384 233076 310768 466152 621536 718651 932304 1243072 1437302 1864608 2155953 2486144 2874604 3729216 4311906 4972288 5749208 7458432 8623812 11498416 14916864 17247624 22996832 34495248 45993664 68990496 91987328 137980992 183974656 275961984 551923968