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42242472 = 2334194773
BaseRepresentation
bin1010000100100…
…1000110101000
32221111010210000
42201021012220
541303224342
64105223000
71022024616
oct241110650
987433700
1042242472
1121932438
1212191a60
1389a045c
1458786b6
153a9644c
hex28491a8

42242472 has 160 divisors (see below), whose sum is σ = 128937600. Its totient is φ = 12877056.

The previous prime is 42242471. The next prime is 42242477. The reversal of 42242472 is 27424224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42242471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 578628 + ... + 578700.

It is an arithmetic number, because the mean of its divisors is an integer number (805860).

Almost surely, 242242472 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 42242472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64468800).

42242472 is an abundant number, since it is smaller than the sum of its proper divisors (86695128).

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

42242472 is a wasteful number, since it uses less digits than its factorization.

42242472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 42242472 is about 6499.4208972800. The cubic root of 42242472 is about 348.2703012912.

Adding to 42242472 its reverse (27424224), we get a palindrome (69666696).

The spelling of 42242472 in words is "forty-two million, two hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 73 76 81 94 108 114 141 146 152 162 171 188 216 219 228 282 292 324 342 376 423 438 456 513 564 584 648 657 684 846 876 893 1026 1128 1269 1314 1368 1387 1539 1692 1752 1786 1971 2052 2538 2628 2679 2774 3078 3384 3431 3572 3807 3942 4104 4161 5076 5256 5358 5548 5913 6156 6862 7144 7614 7884 8037 8322 10152 10293 10716 11096 11826 12312 12483 13724 15228 15768 16074 16644 20586 21432 23652 24111 24966 27448 30456 30879 32148 33288 37449 41172 47304 48222 49932 61758 64296 65189 72333 74898 82344 92637 96444 99864 112347 123516 130378 144666 149796 185274 192888 195567 224694 247032 260756 277911 289332 299592 370548 391134 449388 521512 555822 578664 586701 741096 782268 898776 1111644 1173402 1564536 1760103 2223288 2346804 3520206 4693608 5280309 7040412 10560618 14080824 21121236 42242472