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1052854272 = 211322392
BaseRepresentation
bin111110110000010…
…100100000000000
32201101010112112200
4332300110200000
54124012314042
6252250153200
735043053661
oct7660244000
92641115480
101052854272
114a0343aa8
12254722800
1313a1847c2
149db89368
1562671c4c
hex3ec14800

1052854272 has 108 divisors (see below), whose sum is σ = 3053612835. Its totient is φ = 349483008.

The previous prime is 1052854267. The next prime is 1052854273. The reversal of 1052854272 is 2724582501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1052854272 is a `hidden beast` number, since 10 + 528 + 54 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526427136 + 526427136 = 22944^2 + 22944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22944.

It is a super-2 number, since 2×10528542722 = 2217004236137299968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052854273) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4405129 + ... + 4405367.

Almost surely, 21052854272 is an apocalyptic number.

1052854272 is a gapful number since it is divisible by the number (12) 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 1052854272

1052854272 is an abundant number, since it is smaller than the sum of its proper divisors (2000758563).

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

1052854272 is an frugal number, since it uses more digits than its factorization.

1052854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1052854272 is about 32447.7159750883. The cubic root of 1052854272 is about 1017.3164986915.

The spelling of 1052854272 in words is "one billion, fifty-two million, eight hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2048 2151 2304 2868 3072 3824 4302 4608 5736 6144 7648 8604 9216 11472 15296 17208 18432 22944 30592 34416 45888 57121 61184 68832 91776 114242 122368 137664 171363 183552 228484 244736 275328 342726 367104 456968 489472 514089 550656 685452 734208 913936 1028178 1101312 1370904 1468416 1827872 2056356 2202624 2741808 3655744 4112712 4405248 5483616 7311488 8225424 10967232 14622976 16450848 21934464 29245952 32901696 43868928 58491904 65803392 87737856 116983808 131606784 175475712 263213568 350951424 526427136 1052854272