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42453840 = 243511131237
BaseRepresentation
bin1010000111110…
…0101101010000
32221212212201110
42201330231100
541332010330
64113533320
71023565062
oct241745520
987785643
1042453840
1121a67220
1212274240
138a45720
1458d1732
153ad8db0
hex287cb50

42453840 has 160 divisors (see below), whose sum is σ = 154740096. Its totient is φ = 9492480.

The previous prime is 42453823. The next prime is 42453869. The reversal of 42453840 is 4835424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42453798 and 42453807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33702 + ... + 34938.

Almost surely, 242453840 is an apocalyptic number.

42453840 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 42453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77370048).

42453840 is an abundant number, since it is smaller than the sum of its proper divisors (112286256).

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

42453840 is a wasteful number, since it uses less digits than its factorization.

42453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42453840 is about 6515.6611329933. The cubic root of 42453840 is about 348.8502133612.

The spelling of 42453840 in words is "forty-two million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1237 1320 1430 1560 1716 2145 2288 2474 2640 2860 3120 3432 3711 4290 4948 5720 6185 6864 7422 8580 9896 11440 12370 13607 14844 16081 17160 18555 19792 24740 27214 29688 32162 34320 37110 40821 48243 49480 54428 59376 64324 68035 74220 80405 81642 96486 98960 108856 128648 136070 148440 160810 163284 176891 192972 204105 217712 241215 257296 272140 296880 321620 326568 353782 385944 408210 482430 530673 544280 643240 653136 707564 771888 816420 884455 964860 1061346 1088560 1286480 1415128 1632840 1768910 1929720 2122692 2653365 2830256 3265680 3537820 3859440 4245384 5306730 7075640 8490768 10613460 14151280 21226920 42453840