Search a number
-
+
1052524368 = 243774297
BaseRepresentation
bin111110101111000…
…011111101010000
32201100111210000000
4332233003331100
54123421234433
6252235130000
735040211110
oct7657037520
92640453000
101052524368
114a0139155
122545a3900
1313a09a5ac
149db01040
1562609113
hex3ebc3f50

1052524368 has 160 divisors (see below), whose sum is σ = 3496165120. Its totient is φ = 300651264.

The previous prime is 1052524357. The next prime is 1052524391. The reversal of 1052524368 is 8634252501.

It is a super-2 number, since 2×10525243682 = 2215615090467598848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242796 + ... + 247092.

It is an arithmetic number, because the mean of its divisors is an integer number (21851032).

Almost surely, 21052524368 is an apocalyptic number.

1052524368 is a gapful number since it is divisible by the number (18) 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 1052524368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748082560).

1052524368 is an abundant number, since it is smaller than the sum of its proper divisors (2443640752).

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

1052524368 is an frugal number, since it uses more digits than its factorization.

1052524368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1052524368 is about 32442.6319524172. The cubic root of 1052524368 is about 1017.2102314230.

Adding to 1052524368 its reverse (8634252501), we get a palindrome (9686776869).

The spelling of 1052524368 in words is "one billion, fifty-two million, five hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2187 2268 2916 3024 3402 3888 4297 4374 4536 5103 5832 6804 8594 8748 9072 10206 11664 12891 13608 15309 17188 17496 20412 25782 27216 30079 30618 34376 34992 38673 40824 51564 60158 61236 68752 77346 81648 90237 103128 116019 120316 122472 154692 180474 206256 232038 240632 244944 270711 309384 348057 360948 464076 481264 541422 618768 696114 721896 812133 928152 1044171 1082844 1392228 1443792 1624266 1856304 2088342 2165688 2436399 2784456 3132513 3248532 4176684 4331376 4872798 5568912 6265026 6497064 7309197 8353368 9397539 9745596 12530052 12994128 14618394 16706736 18795078 19491192 21927591 25060104 29236788 37590156 38982384 43855182 50120208 58473576 65782773 75180312 87710364 116947152 131565546 150360624 175420728 263131092 350841456 526262184 1052524368