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42737664 = 21333747
BaseRepresentation
bin1010001100001…
…0000000000000
32222102022001110
42203002000000
541420101124
64124003320
71026156414
oct243020000
988368043
1042737664
1122140492
1212390540
138b14978
145966d44
153b43029
hex28c2000

42737664 has 112 divisors (see below), whose sum is σ = 119530368. Its totient is φ = 13565952.

The previous prime is 42737647. The next prime is 42737671. The reversal of 42737664 is 46673724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909289 + ... + 909335.

Almost surely, 242737664 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 42737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59765184).

42737664 is an abundant number, since it is smaller than the sum of its proper divisors (76792704).

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

42737664 is an equidigital number, since it uses as much as digits as its factorization.

42737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 42737664 is about 6537.4049897494. The cubic root of 42737664 is about 349.6258968750.

The spelling of 42737664 in words is "forty-two million, seven hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 128 141 148 188 192 222 256 282 296 376 384 444 512 564 592 752 768 888 1024 1128 1184 1504 1536 1739 1776 2048 2256 2368 3008 3072 3478 3552 4096 4512 4736 5217 6016 6144 6956 7104 8192 9024 9472 10434 12032 12288 13912 14208 18048 18944 20868 24064 24576 27824 28416 36096 37888 41736 48128 55648 56832 72192 75776 83472 96256 111296 113664 144384 151552 166944 192512 222592 227328 288768 303104 333888 385024 445184 454656 577536 667776 890368 909312 1155072 1335552 1780736 2671104 3561472 5342208 7122944 10684416 14245888 21368832 42737664