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42496384 = 277431103
BaseRepresentation
bin1010001000011…
…1000110000000
32221222001002011
42202013012000
541334341014
64114502304
71024133110
oct242070600
987861064
1042496384
1121a96187
1212294994
138a5bbb8
145903040
153ae67c4
hex2887180

42496384 has 64 divisors (see below), whose sum is σ = 99095040. Its totient is φ = 17773056.

The previous prime is 42496373. The next prime is 42496393. The reversal of 42496384 is 48369424.

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, 37977 + ... + 39079.

It is an arithmetic number, because the mean of its divisors is an integer number (1548360).

Almost surely, 242496384 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 42496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49547520).

42496384 is an abundant number, since it is smaller than the sum of its proper divisors (56598656).

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

42496384 is a wasteful number, since it uses less digits than its factorization.

42496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 42496384 is about 6518.9250647634. The cubic root of 42496384 is about 348.9667048146.

The spelling of 42496384 in words is "forty-two million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1103 1204 1376 2206 2408 2752 4412 4816 5504 7721 8824 9632 15442 17648 19264 30884 35296 38528 47429 61768 70592 94858 123536 141184 189716 247072 332003 379432 494144 664006 758864 988288 1328012 1517728 2656024 3035456 5312048 6070912 10624096 21248192 42496384