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42934464 = 2632131569
BaseRepresentation
bin1010001111001…
…0000011000000
32222210022000100
42203302003000
541442400324
64132122400
71030636236
oct243620300
988708010
1042934464
1122265331
1212466400
138b83411
1459b8956
153b814c9
hex28f20c0

42934464 has 84 divisors (see below), whose sum is σ = 124221240. Its totient is φ = 14177280.

The previous prime is 42934457. The next prime is 42934501. The reversal of 42934464 is 46443924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75172 + ... + 75740.

Almost surely, 242934464 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 42934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62110620).

42934464 is an abundant number, since it is smaller than the sum of its proper divisors (81286776).

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

42934464 is a wasteful number, since it uses less digits than its factorization.

42934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 705 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42934464 is about 6552.4395456959. The cubic root of 42934464 is about 350.1617320562.

The spelling of 42934464 in words is "forty-two million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 569 576 786 1048 1138 1179 1572 1707 2096 2276 2358 3144 3414 4192 4552 4716 5121 6288 6828 8384 9104 9432 10242 12576 13656 18208 18864 20484 25152 27312 36416 37728 40968 54624 74539 75456 81936 109248 149078 163872 223617 298156 327744 447234 596312 670851 894468 1192624 1341702 1788936 2385248 2683404 3577872 4770496 5366808 7155744 10733616 14311488 21467232 42934464