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42388480 = 210517487
BaseRepresentation
bin1010000110110…
…0110000000000
32221202120001201
42201230300000
541322412410
64112310544
71023203401
oct241546000
987676051
1042388480
1121a22102
1212242454
138a21a54
1458b59a8
153ac483a
hex286cc00

42388480 has 88 divisors (see below), whose sum is σ = 107885088. Its totient is φ = 15925248.

The previous prime is 42388469. The next prime is 42388481. The reversal of 42388480 is 8488324.

It is not an unprimeable number, because it can be changed into a prime (42388481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86797 + ... + 87283.

Almost surely, 242388480 is an apocalyptic number.

42388480 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 42388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53942544).

42388480 is an abundant number, since it is smaller than the sum of its proper divisors (65496608).

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

42388480 is a wasteful number, since it uses less digits than its factorization.

42388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 42388480 is about 6510.6435933785. The cubic root of 42388480 is about 348.6710967724.

The spelling of 42388480 in words is "forty-two million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 487 512 544 640 680 974 1024 1088 1280 1360 1948 2176 2435 2560 2720 3896 4352 4870 5120 5440 7792 8279 8704 9740 10880 15584 16558 17408 19480 21760 31168 33116 38960 41395 43520 62336 66232 77920 82790 87040 124672 132464 155840 165580 249344 264928 311680 331160 498688 529856 623360 662320 1059712 1246720 1324640 2119424 2493440 2649280 4238848 5298560 8477696 10597120 21194240 42388480