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451452150 = 233521731933
BaseRepresentation
bin11010111010001…
…001110011110110
31011110111010221000
4122322021303312
51411032432100
6112444104130
714121165012
oct3272116366
91143433830
10451452150
11211918756
12107235046
13726b7966
1443d59542
1529978900
hex1ae89cf6

451452150 has 96 divisors (see below), whose sum is σ = 1251839520. Its totient is φ = 119629440.

The previous prime is 451452149. The next prime is 451452263. The reversal of 451452150 is 51254154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232584 + ... + 234516.

It is an arithmetic number, because the mean of its divisors is an integer number (13039995).

Almost surely, 2451452150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451452150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625919760).

451452150 is an abundant number, since it is smaller than the sum of its proper divisors (800387370).

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

451452150 is a wasteful number, since it uses less digits than its factorization.

451452150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 451452150 is about 21247.4033707651. The cubic root of 451452150 is about 767.1328408275.

The spelling of 451452150 in words is "four hundred fifty-one million, four hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 173 225 270 346 450 519 675 865 1038 1350 1557 1730 1933 2595 3114 3866 4325 4671 5190 5799 7785 8650 9342 9665 11598 12975 15570 17397 19330 23355 25950 28995 34794 38925 46710 48325 52191 57990 77850 86985 96650 104382 116775 144975 173970 233550 260955 289950 334409 434925 521910 668818 869850 1003227 1304775 1672045 2006454 2609550 3009681 3344090 5016135 6019362 8360225 9029043 10032270 15048405 16720450 18058086 25080675 30096810 45145215 50161350 75242025 90290430 150484050 225726075 451452150