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42534480 = 2435315717
BaseRepresentation
bin1010001001000…
…0011001010000
32222000222100010
42202100121100
541342100410
64115354520
71024352142
oct242203120
988028303
1042534480
112201186a
12122b2a40
138a73341
145912c92
153b02c20
hex2890650

42534480 has 80 divisors (see below), whose sum is σ = 136134144. Its totient is φ = 10974720.

The previous prime is 42534463. The next prime is 42534491. The reversal of 42534480 is 8443524.

It is a tau number, because it is divible by the number of its divisors (80).

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, 4582 + ... + 10298.

Almost surely, 242534480 is an apocalyptic number.

42534480 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 42534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68067072).

42534480 is an abundant number, since it is smaller than the sum of its proper divisors (93599664).

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

42534480 is a wasteful number, since it uses less digits than its factorization.

42534480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5758 counting only the distinct ones).

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

The square root of 42534480 is about 6521.8463643358. The cubic root of 42534480 is about 349.0709510568.

The spelling of 42534480 in words is "forty-two million, five hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 5717 7440 11434 17151 22868 28585 34302 45736 57170 68604 85755 91472 114340 137208 171510 177227 228680 274416 343020 354454 457360 531681 686040 708908 886135 1063362 1372080 1417816 1772270 2126724 2658405 2835632 3544540 4253448 5316810 7089080 8506896 10633620 14178160 21267240 42534480