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42746520 = 23353111491
BaseRepresentation
bin1010001100010…
…0001010011000
32222102202012110
42203010022120
541420342040
64124112320
71026224265
oct243041230
988382173
1042746520
1122147103
12123956a0
138b189cb
14596a26c
153b45980
hex28c4298

42746520 has 64 divisors (see below), whose sum is σ = 132387840. Its totient is φ = 11030400.

The previous prime is 42746519. The next prime is 42746569. The reversal of 42746520 is 2564724.

It is a super-2 number, since 2×427465202 = 3654529944220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 2026 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (2068560).

Almost surely, 242746520 is an apocalyptic number.

42746520 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 42746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193920).

42746520 is an abundant number, since it is smaller than the sum of its proper divisors (89641320).

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

42746520 is a wasteful number, since it uses less digits than its factorization.

42746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42746520 is about 6538.0822876437. The cubic root of 42746520 is about 349.6500447640.

The spelling of 42746520 in words is "forty-two million, seven hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 11491 22982 34473 45964 57455 68946 91928 114910 137892 172365 229820 275784 344730 356221 459640 689460 712442 1068663 1378920 1424884 1781105 2137326 2849768 3562210 4274652 5343315 7124420 8549304 10686630 14248840 21373260 42746520