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42409948 = 2272921801
BaseRepresentation
bin1010000111000…
…1111111011100
32221210122111211
42201301333130
541324104243
64112554204
71023323110
oct241617734
987718454
1042409948
1121a37249
1212252964
138a2b759
1458bd740
153acad9d
hex2871fdc

42409948 has 36 divisors (see below), whose sum is σ = 87894352. Its totient is φ = 17539200.

The previous prime is 42409943. The next prime is 42409981. The reversal of 42409948 is 84990424.

It is a self number, because there is not a number n which added to its sum of digits gives 42409948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42409943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22648 + ... + 24448.

Almost surely, 242409948 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 42409948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43947176).

42409948 is an abundant number, since it is smaller than the sum of its proper divisors (45484404).

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

42409948 is a wasteful number, since it uses less digits than its factorization.

42409948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 42409948 is about 6512.2920696173. The cubic root of 42409948 is about 348.7299493018.

The spelling of 42409948 in words is "forty-two million, four hundred nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 1801 3364 3602 5887 7204 11774 12607 23548 25214 50428 52229 104458 208916 365603 731206 1462412 1514641 3029282 6058564 10602487 21204974 42409948