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426011157 = 34111336779
BaseRepresentation
bin11001011001000…
…110101000010101
31002200121121110000
4121121012220111
51333024324112
6110134521513
713362015015
oct3131065025
91080547400
10426011157
111a9521540
12ba806299
136a34ab10
1440815c45
15276007dc
hex19646a15

426011157 has 40 divisors (see below), whose sum is σ = 747663840. Its totient is φ = 238321440.

The previous prime is 426011123. The next prime is 426011171. The reversal of 426011157 is 751110624.

It is a happy number.

426011157 is a `hidden beast` number, since 4 + 2 + 601 + 1 + 1 + 57 = 666.

It is not a de Polignac number, because 426011157 - 211 = 426009109 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 426011157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6807 + ... + 29972.

It is an arithmetic number, because the mean of its divisors is an integer number (18691596).

Almost surely, 2426011157 is an apocalyptic number.

It is an amenable number.

426011157 is a deficient number, since it is larger than the sum of its proper divisors (321652683).

426011157 is a wasteful number, since it uses less digits than its factorization.

426011157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36815 (or 36806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 426011157 is about 20640.0377179888. The cubic root of 426011157 is about 752.4430891129.

The spelling of 426011157 in words is "four hundred twenty-six million, eleven thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 11583 36779 110337 331011 404569 478127 993033 1213707 1434381 2979099 3641121 4303143 5259397 10923363 12909429 15778191 32770089 38728287 47334573 142003719 426011157