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42979840 = 295103163
BaseRepresentation
bin1010001111110…
…1001000000000
32222212121020221
42203331020000
542000323330
64133112424
71031215441
oct243751000
988777227
1042979840
1122296432
1212488714
138b9ac77
1459cb2c8
153b8eb7a
hex28fd200

42979840 has 80 divisors (see below), whose sum is σ = 104689728. Its totient is φ = 16920576.

The previous prime is 42979837. The next prime is 42979861. The reversal of 42979840 is 4897924.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263599 + ... + 263761.

Almost surely, 242979840 is an apocalyptic number.

42979840 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 42979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344864).

42979840 is an abundant number, since it is smaller than the sum of its proper divisors (61709888).

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

42979840 is a wasteful number, since it uses less digits than its factorization.

42979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 42979840 is about 6555.9011584983. The cubic root of 42979840 is about 350.2850467011.

The spelling of 42979840 in words is "forty-two million, nine hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 163 206 256 320 326 412 512 515 640 652 815 824 1030 1280 1304 1630 1648 2060 2560 2608 3260 3296 4120 5216 6520 6592 8240 10432 13040 13184 16480 16789 20864 26080 26368 32960 33578 41728 52160 52736 65920 67156 83456 83945 104320 131840 134312 167890 208640 263680 268624 335780 417280 537248 671560 1074496 1343120 2148992 2686240 4297984 5372480 8595968 10744960 21489920 42979840