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428957436 = 223107439761
BaseRepresentation
bin11001100100010…
…101111011111100
31002220011021222110
4121210111323330
51334303114221
6110322014020
713426035525
oct3144257374
91086137873
10428957436
11200154086
12bb7a7310
136ab3cb8b
1440d8184c
15279d3776
hex19915efc

428957436 has 48 divisors (see below), whose sum is σ = 1013886720. Its totient is φ = 141141120.

The previous prime is 428957411. The next prime is 428957437. The reversal of 428957436 is 634759824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428957437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 563296 + ... + 564056.

It is an arithmetic number, because the mean of its divisors is an integer number (21122640).

Almost surely, 2428957436 is an apocalyptic number.

It is an amenable number.

428957436 is an abundant number, since it is smaller than the sum of its proper divisors (584929284).

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

428957436 is a wasteful number, since it uses less digits than its factorization.

428957436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 428957436 is about 20711.2876470779. The cubic root of 428957436 is about 754.1737293370.

The spelling of 428957436 in words is "four hundred twenty-eight million, nine hundred fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 107 214 321 428 439 642 761 878 1284 1317 1522 1756 2283 2634 3044 4566 5268 9132 46973 81427 93946 140919 162854 187892 244281 281838 325708 334079 488562 563676 668158 977124 1002237 1336316 2004474 4008948 35746453 71492906 107239359 142985812 214478718 428957436