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423195136 = 2971331293
BaseRepresentation
bin11001001110010…
…111001000000000
31002111022112120221
4121032113020000
51331314221021
6105554312424
713326046030
oct3116271000
91074275527
10423195136
111a7978851
12b9888714
13698a3130
14402c18c0
1527246241
hex19397200

423195136 has 160 divisors (see below), whose sum is σ = 1077931008. Its totient is φ = 161464320.

The previous prime is 423195133. The next prime is 423195137. The reversal of 423195136 is 631591324.

It is not an unprimeable number, because it can be changed into a prime (423195131) 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 15 ways as a sum of consecutive naturals, for example, 1444206 + ... + 1444498.

Almost surely, 2423195136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538965504).

423195136 is an abundant number, since it is smaller than the sum of its proper divisors (654735872).

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

423195136 is a wasteful number, since it uses less digits than its factorization.

423195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 423195136 is about 20571.7071727166. The cubic root of 423195136 is about 750.7814882335.

The spelling of 423195136 in words is "four hundred twenty-three million, one hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 293 364 403 416 434 448 496 512 586 728 806 832 868 896 992 1172 1456 1612 1664 1736 1792 1984 2051 2344 2821 2912 3224 3328 3472 3584 3809 3968 4102 4688 5642 5824 6448 6656 6944 7618 7936 8204 9083 9376 11284 11648 12896 13888 15236 15872 16408 18166 18752 22568 23296 25792 26663 27776 30472 32816 36332 37504 45136 46592 51584 53326 55552 60944 63581 65632 72664 75008 90272 103168 106652 111104 118079 121888 127162 131264 145328 150016 180544 206336 213304 236158 243776 254324 262528 290656 361088 426608 472316 487552 508648 525056 581312 722176 826553 853216 944632 975104 1017296 1050112 1162624 1444352 1653106 1706432 1889264 1950208 2034592 2325248 3306212 3412864 3778528 4069184 4650496 6612424 6825728 7557056 8138368 13224848 13651456 15114112 16276736 26449696 30228224 32553472 52899392 60456448 105798784 211597568 423195136