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42141456 = 2432797431
BaseRepresentation
bin1010000011000…
…0011100010000
32221022000012200
42200300130100
541242011311
64103123200
71021124250
oct240603420
987260180
1042141456
1121873555
1212143500
138966496
14584d960
153a76556
hex2830710

42141456 has 120 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 11888640.

The previous prime is 42141443. The next prime is 42141457. The reversal of 42141456 is 65414124.

It is not an unprimeable number, because it can be changed into a prime (42141457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97561 + ... + 97991.

Almost surely, 242141456 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 42141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

42141456 is an abundant number, since it is smaller than the sum of its proper divisors (94349808).

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

42141456 is a wasteful number, since it uses less digits than its factorization.

42141456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42141456 is about 6491.6450919624. The cubic root of 42141456 is about 347.9924691196.

The spelling of 42141456 in words is "forty-two million, one hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 431 504 582 679 776 862 873 1008 1164 1293 1358 1552 1724 1746 2037 2328 2586 2716 3017 3448 3492 3879 4074 4656 5172 5432 6034 6111 6896 6984 7758 8148 9051 10344 10864 12068 12222 13968 15516 16296 18102 20688 24136 24444 27153 31032 32592 36204 41807 48272 48888 54306 62064 72408 83614 97776 108612 125421 144816 167228 217224 250842 292649 334456 376263 434448 501684 585298 668912 752526 877947 1003368 1170596 1505052 1755894 2006736 2341192 2633841 3010104 3511788 4682384 5267682 6020208 7023576 10535364 14047152 21070728 42141456