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42714432 = 2633191301
BaseRepresentation
bin1010001011110…
…0010101000000
32222101010012000
42202330111000
541413330212
64123304000
71026031605
oct242742500
988333160
1042714432
1122124a92
121237b000
138b07217
14595c6ac
153b3b1dc
hex28bc540

42714432 has 112 divisors (see below), whose sum is σ = 132283200. Its totient is φ = 13478400.

The previous prime is 42714377. The next prime is 42714433. The reversal of 42714432 is 23441724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42714396 and 42714405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42714433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32182 + ... + 33482.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 242714432 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 42714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66141600).

42714432 is an abundant number, since it is smaller than the sum of its proper divisors (89568768).

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

42714432 is a wasteful number, since it uses less digits than its factorization.

42714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42714432 is about 6535.6278963846. The cubic root of 42714432 is about 349.5625337092.

The spelling of 42714432 in words is "forty-two million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1301 1368 1728 1824 2052 2602 2736 3648 3903 4104 5204 5472 7806 8208 10408 10944 11709 15612 16416 20816 23418 24719 31224 32832 35127 41632 46836 49438 62448 70254 74157 83264 93672 98876 124896 140508 148314 187344 197752 222471 249792 281016 296628 374688 395504 444942 562032 593256 667413 749376 791008 889884 1124064 1186512 1334826 1582016 1779768 2248128 2373024 2669652 3559536 4746048 5339304 7119072 10678608 14238144 21357216 42714432