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1229286528 = 273210332
BaseRepresentation
bin100100101000101…
…0110110010000000
310011200010020002200
41021101112302000
510004144132103
6321551513200
742314522511
oct11121266200
93150106080
101229286528
1158099a188
122a3828800
131678a97a2
14b9394a08
1572dc30a3
hex49456c80

1229286528 has 72 divisors (see below), whose sum is σ = 3540827745. Its totient is φ = 409365504.

The previous prime is 1229286521. The next prime is 1229286533. The reversal of 1229286528 is 8256829221.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 839145024 + 390141504 = 28968^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24792.

It is a super-2 number, since 2×12292865282 = 3022290735844589568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1229286521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1189500 + ... + 1190532.

Almost surely, 21229286528 is an apocalyptic number.

1229286528 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 1229286528

1229286528 is an abundant number, since it is smaller than the sum of its proper divisors (2311541217).

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

1229286528 is an frugal number, since it uses more digits than its factorization.

1229286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1038 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1229286528 is about 35061.1826383538. The cubic root of 1229286528 is about 1071.2340634034.

The spelling of 1229286528 in words is "one billion, two hundred twenty-nine million, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1033 1152 2066 3099 4132 6198 8264 9297 12396 16528 18594 24792 33056 37188 49584 66112 74376 99168 132224 148752 198336 297504 396672 595008 1067089 1190016 2134178 3201267 4268356 6402534 8536712 9603801 12805068 17073424 19207602 25610136 34146848 38415204 51220272 68293696 76830408 102440544 136587392 153660816 204881088 307321632 409762176 614643264 1229286528