Search a number
-
+
42925960 = 23572112181
BaseRepresentation
bin1010001110111…
…1111110001000
32222202212100101
42203233332020
541442112320
64132015144
71030602400
oct243577610
988685311
1042925960
1122259a00
12124614b4
138b7c59c
1459b5800
153b7dc0a
hex28eff88

42925960 has 144 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 13305600.

The previous prime is 42925951. The next prime is 42925973. The reversal of 42925960 is 6952924.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 6853924 = 6006^2 + 2618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237070 + ... + 237250.

Almost surely, 242925960 is an apocalyptic number.

42925960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42925960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088390).

42925960 is an abundant number, since it is smaller than the sum of its proper divisors (81250820).

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

42925960 is a wasteful number, since it uses less digits than its factorization.

42925960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 42925960 is about 6551.7905949443. The cubic root of 42925960 is about 350.1386117645.

It can be divided in two parts, 429 and 25960, that multiplied together give a triangular number (11136840 = T4719).

The spelling of 42925960 in words is "forty-two million, nine hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 181 196 220 242 245 280 308 362 385 392 440 484 490 539 605 616 724 770 847 905 968 980 1078 1210 1267 1448 1540 1694 1810 1960 1991 2156 2420 2534 2695 3080 3388 3620 3982 4235 4312 4840 5068 5390 5929 6335 6776 7240 7964 8470 8869 9955 10136 10780 11858 12670 13937 15928 16940 17738 19910 21560 21901 23716 25340 27874 29645 33880 35476 39820 43802 44345 47432 50680 55748 59290 69685 70952 79640 87604 88690 97559 109505 111496 118580 139370 153307 175208 177380 195118 219010 237160 278740 306614 354760 390236 438020 487795 557480 613228 766535 780472 876040 975590 1073149 1226456 1533070 1951180 2146298 3066140 3902360 4292596 5365745 6132280 8585192 10731490 21462980 42925960