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42274240 = 2651719409
BaseRepresentation
bin1010000101000…
…0110111000000
32221112202100121
42201100313000
541310233430
64110030024
71022216341
oct241206700
987482317
1042274240
1121954298
12121a8314
1389b1a58
1458860c8
153aa0a7a
hex2850dc0

42274240 has 112 divisors (see below), whose sum is σ = 112471200. Its totient is φ = 15040512.

The previous prime is 42274217. The next prime is 42274247. The reversal of 42274240 is 4247224.

It is a happy number.

It is a super-2 number, since 2×422742402 = 3574222735155200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42274247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103156 + ... + 103564.

Almost surely, 242274240 is an apocalyptic number.

42274240 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 42274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56235600).

42274240 is an abundant number, since it is smaller than the sum of its proper divisors (70196960).

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

42274240 is a wasteful number, since it uses less digits than its factorization.

42274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 42274240 is about 6501.8643480159. The cubic root of 42274240 is about 348.3575837353.

The spelling of 42274240 in words is "forty-two million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 304 320 323 340 380 409 544 608 646 680 760 818 1088 1216 1292 1360 1520 1615 1636 2045 2584 2720 3040 3230 3272 4090 5168 5440 6080 6460 6544 6953 7771 8180 10336 12920 13088 13906 15542 16360 20672 25840 26176 27812 31084 32720 34765 38855 51680 55624 62168 65440 69530 77710 103360 111248 124336 130880 132107 139060 155420 222496 248672 264214 278120 310840 444992 497344 528428 556240 621680 660535 1056856 1112480 1243360 1321070 2113712 2224960 2486720 2642140 4227424 5284280 8454848 10568560 21137120 42274240