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42334432 = 25741929
BaseRepresentation
bin1010000101111…
…1100011100000
32221122210220221
42201133203200
541314200212
64111212424
71022560000
oct241374340
987583827
1042334432
1121995538
1212217114
138a0327a
1458a0000
153ab3807
hex285f8e0

42334432 has 120 divisors (see below), whose sum is σ = 105877800. Its totient is φ = 16595712.

The previous prime is 42334429. The next prime is 42334459. The reversal of 42334432 is 23443324.

It is a junction number, because it is equal to n+sod(n) for n = 42334397 and 42334406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1459794 + ... + 1459822.

It is an arithmetic number, because the mean of its divisors is an integer number (882315).

Almost surely, 242334432 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 42334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52938900).

42334432 is an abundant number, since it is smaller than the sum of its proper divisors (63543368).

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

42334432 is an equidigital number, since it uses as much as digits as its factorization.

42334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its digits is 6912, while the sum is 25.

The square root of 42334432 is about 6506.4915276976. The cubic root of 42334432 is about 348.5228411565.

Adding to 42334432 its reverse (23443324), we get a palindrome (65777756).

The spelling of 42334432 in words is "forty-two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 49 56 58 76 98 112 116 133 152 196 203 224 232 266 304 343 392 406 464 532 551 608 686 784 812 928 931 1064 1102 1372 1421 1568 1624 1862 2128 2204 2401 2744 2842 3248 3724 3857 4256 4408 4802 5488 5684 6496 6517 7448 7714 8816 9604 9947 10976 11368 13034 14896 15428 17632 19208 19894 22736 26068 26999 29792 30856 38416 39788 45472 45619 52136 53998 61712 69629 76832 79576 91238 104272 107996 123424 139258 159152 182476 188993 208544 215992 278516 318304 364952 377986 431984 557032 729904 755972 863968 1114064 1322951 1459808 1511944 2228128 2645902 3023888 5291804 6047776 10583608 21167216 42334432