[go: up one dir, main page]

Search a number
-
+
553435040 = 25519307593
BaseRepresentation
bin100000111111001…
…011111110100000
31102120101102011002
4200333023332200
52113134410130
6130530011132
716500056144
oct4077137640
91376342132
10553435040
11264443a34
12135416aa8
138a873b72
1453705224
15338c0b45
hex20fcbfa0

553435040 has 96 divisors (see below), whose sum is σ = 1383117120. Its totient is φ = 208687104.

The previous prime is 553434991. The next prime is 553435061. The reversal of 553435040 is 40534355.

It is a junction number, because it is equal to n+sod(n) for n = 553434994 and 553435012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932984 + ... + 933576.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2553435040 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 553435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691558560).

553435040 is an abundant number, since it is smaller than the sum of its proper divisors (829682080).

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

553435040 is a wasteful number, since it uses less digits than its factorization.

553435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 553435040 is about 23525.2001054189. The cubic root of 553435040 is about 821.0234296568.

Adding to 553435040 its reverse (40534355), we get a palindrome (593969395).

The spelling of 553435040 in words is "five hundred fifty-three million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 307 380 593 608 614 760 1186 1228 1520 1535 2372 2456 2965 3040 3070 4744 4912 5833 5930 6140 9488 9824 11267 11666 11860 12280 18976 22534 23332 23720 24560 29165 45068 46664 47440 49120 56335 58330 90136 93328 94880 112670 116660 180272 182051 186656 225340 233320 360544 364102 450680 466640 728204 901360 910255 933280 1456408 1802720 1820510 2912816 3458969 3641020 5825632 6917938 7282040 13835876 14564080 17294845 27671752 29128160 34589690 55343504 69179380 110687008 138358760 276717520 553435040