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42500480 = 275116037
BaseRepresentation
bin1010001000100…
…0000110000000
32221222020200212
42202020012000
541340003410
64114533252
71024151051
oct242100600
987866625
1042500480
1121a99270
1212297228
138a60a19
145904728
153ae7b05
hex2888180

42500480 has 64 divisors (see below), whose sum is σ = 110857680. Its totient is φ = 15452160.

The previous prime is 42500443. The next prime is 42500483. The reversal of 42500480 is 8400524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500483) 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, 4022 + ... + 10058.

Almost surely, 242500480 is an apocalyptic number.

42500480 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 42500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55428840).

42500480 is an abundant number, since it is smaller than the sum of its proper divisors (68357200).

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

42500480 is a wasteful number, since it uses less digits than its factorization.

42500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 42500480 is about 6519.2392194182. The cubic root of 42500480 is about 348.9779161348.

The spelling of 42500480 in words is "forty-two million, five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 6037 7040 12074 24148 30185 48296 60370 66407 96592 120740 132814 193184 241480 265628 332035 386368 482960 531256 664070 772736 965920 1062512 1328140 1931840 2125024 2656280 3863680 4250048 5312560 8500096 10625120 21250240 42500480