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429026112 = 2633318009
BaseRepresentation
bin11001100100100…
…110101101000000
31002220021210012000
4121210212231000
51334312313422
6110323304000
713426442664
oct3144465500
91086253160
10429026112
112001a0739
12bb81b000
136ab65208
1440d9c8a4
15279e8cac
hex19926b40

429026112 has 112 divisors (see below), whose sum is σ = 1302105600. Its totient is φ = 138378240.

The previous prime is 429026077. The next prime is 429026113. The reversal of 429026112 is 211620924.

429026112 is a `hidden beast` number, since 42 + 9 + 0 + 2 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429026113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49564 + ... + 57572.

Almost surely, 2429026112 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 429026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651052800).

429026112 is an abundant number, since it is smaller than the sum of its proper divisors (873079488).

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

429026112 is a wasteful number, since it uses less digits than its factorization.

429026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 429026112 is about 20712.9455172363. The cubic root of 429026112 is about 754.2139748773.

The spelling of 429026112 in words is "four hundred twenty-nine million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8009 8928 13392 16018 17856 24027 26784 32036 48054 53568 64072 72081 96108 128144 144162 192216 216243 248279 256288 288324 384432 432486 496558 512576 576648 744837 768864 864972 993116 1153296 1489674 1537728 1729944 1986232 2234511 2306592 2979348 3459888 3972464 4469022 4613184 5958696 6703533 6919776 7944928 8938044 11917392 13407066 13839552 15889856 17876088 23834784 26814132 35752176 47669568 53628264 71504352 107256528 143008704 214513056 429026112