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42156928 = 271179379
BaseRepresentation
bin1010000011010…
…0001110000000
32221022210102201
42200310032000
541243010203
64103322544
71021220332
oct240641600
987283381
1042156928
1121884140
1212150454
138970538
145855452
153a7ae1d
hex2834380

42156928 has 64 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 18869760.

The previous prime is 42156901. The next prime is 42156937. The reversal of 42156928 is 82965124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 111043 + ... + 111421.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 242156928 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 42156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

42156928 is an abundant number, since it is smaller than the sum of its proper divisors (50867072).

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

42156928 is a wasteful number, since it uses less digits than its factorization.

42156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 42156928 is about 6492.8366682060. The cubic root of 42156928 is about 348.0350517387.

The spelling of 42156928 in words is "forty-two million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 379 632 704 758 869 1264 1408 1516 1738 2528 3032 3476 4169 5056 6064 6952 8338 10112 12128 13904 16676 24256 27808 29941 33352 48512 55616 59882 66704 111232 119764 133408 239528 266816 329351 479056 533632 658702 958112 1317404 1916224 2634808 3832448 5269616 10539232 21078464 42156928