Search a number
-
+
42900928 = 2671743131
BaseRepresentation
bin1010001110100…
…1110111000000
32222201121000021
42203221313000
541440312203
64131303224
71030436410
oct243516700
988647007
1042900928
1122242114
121244ab14
138b71085
1459aa640
153b765bd
hex28e9dc0

42900928 has 112 divisors (see below), whose sum is σ = 106216704. Its totient is φ = 16773120.

The previous prime is 42900863. The next prime is 42900959. The reversal of 42900928 is 82900924.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×429009282 = 3680979246522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 42900893 and 42900902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327423 + ... + 327553.

Almost surely, 242900928 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 42900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108352).

42900928 is an abundant number, since it is smaller than the sum of its proper divisors (63315776).

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

42900928 is a wasteful number, since it uses less digits than its factorization.

42900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 42900928 is about 6549.8799989007. The cubic root of 42900928 is about 350.0705381639.

The spelling of 42900928 in words is "forty-two million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 131 136 172 224 238 262 272 301 344 448 476 524 544 602 688 731 917 952 1048 1088 1204 1376 1462 1834 1904 2096 2227 2408 2752 2924 3668 3808 4192 4454 4816 5117 5633 5848 7336 7616 8384 8908 9632 10234 11266 11696 14672 15589 17816 19264 20468 22532 23392 29344 31178 35632 39431 40936 45064 46784 58688 62356 71264 78862 81872 90128 95761 124712 142528 157724 163744 180256 191522 249424 315448 327488 360512 383044 498848 630896 670327 766088 997696 1261792 1340654 1532176 2523584 2681308 3064352 5362616 6128704 10725232 21450464 42900928