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450771552 = 253271120327
BaseRepresentation
bin11010110111100…
…011101001100000
31011102012120022200
4122313203221200
51410344142202
6112421333200
714112331530
oct3267435140
91142176280
10450771552
112114a3380
12106b67200
1372509c3a
1443c1d4c0
1529891e1c
hex1ade3a60

450771552 has 144 divisors (see below), whose sum is σ = 1598268672. Its totient is φ = 117077760.

The previous prime is 450771539. The next prime is 450771557. The reversal of 450771552 is 255177054.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450771557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12013 + ... + 32339.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2450771552 is an apocalyptic number.

450771552 is a gapful number since it is divisible by the number (42) 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 450771552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799134336).

450771552 is an abundant number, since it is smaller than the sum of its proper divisors (1147497120).

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

450771552 is a wasteful number, since it uses less digits than its factorization.

450771552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 450771552 is about 21231.3813022139. The cubic root of 450771552 is about 766.7471434949.

The spelling of 450771552 in words is "four hundred fifty million, seven hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 20327 22176 40654 60981 81308 121962 142289 162616 182943 223597 243924 284578 325232 365886 426867 447194 487848 569156 650464 670791 731772 853734 894388 975696 1138312 1280601 1341582 1463544 1565179 1707468 1788776 1951392 2012373 2276624 2561202 2683164 2927088 3130358 3414936 3577552 4024746 4553248 4695537 5122404 5366328 5854176 6260716 6829872 7155104 8049492 9391074 10244808 10732656 12521432 13659744 14086611 16098984 18782148 20489616 21465312 25042864 28173222 32197968 37564296 40979232 50085728 56346444 64395936 75128592 112692888 150257184 225385776 450771552