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42447360 = 29355527
BaseRepresentation
bin1010000111101…
…1001000000000
32221212112211110
42201323020000
541331303420
64113443320
71023540144
oct241731000
987775743
1042447360
1121a6236a
1212270540
138a427a7
1458cd224
153ad6ee0
hex287b200

42447360 has 80 divisors (see below), whose sum is σ = 135723456. Its totient is φ = 11317248.

The previous prime is 42447347. The next prime is 42447367. The reversal of 42447360 is 6374424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42447367) 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, 4917 + ... + 10443.

Almost surely, 242447360 is an apocalyptic number.

42447360 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 42447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67861728).

42447360 is an abundant number, since it is smaller than the sum of its proper divisors (93276096).

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

42447360 is an equidigital number, since it uses as much as digits as its factorization.

42447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 42447360 is about 6515.1638505873. The cubic root of 42447360 is about 348.8324633814.

The spelling of 42447360 in words is "forty-two million, four hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5527 7680 11054 16581 22108 27635 33162 44216 55270 66324 82905 88432 110540 132648 165810 176864 221080 265296 331620 353728 442160 530592 663240 707456 884320 1061184 1326480 1414912 1768640 2122368 2652960 2829824 3537280 4244736 5305920 7074560 8489472 10611840 14149120 21223680 42447360