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42879744 = 283237503
BaseRepresentation
bin1010001110010…
…0101100000000
32222200111221200
42203210230000
541434122434
64131021200
71030320555
oct243445400
988614850
1042879744
1122228206
121243a800
138b6453b
1459a2a2c
153b70199
hex28e4b00

42879744 has 108 divisors (see below), whose sum is σ = 127226736. Its totient is φ = 13879296.

The previous prime is 42879737. The next prime is 42879773. The reversal of 42879744 is 44797824.

It is a self number, because there is not a number n which added to its sum of digits gives 42879744.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84997 + ... + 85499.

Almost surely, 242879744 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 42879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63613368).

42879744 is an abundant number, since it is smaller than the sum of its proper divisors (84346992).

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

42879744 is a wasteful number, since it uses less digits than its factorization.

42879744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42879744 is about 6548.2626703577. The cubic root of 42879744 is about 350.0129083675.

The spelling of 42879744 in words is "forty-two million, eight hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 503 576 592 666 768 888 1006 1152 1184 1332 1509 1776 2012 2304 2368 2664 3018 3552 4024 4527 4736 5328 6036 7104 8048 9054 9472 10656 12072 14208 16096 18108 18611 21312 24144 28416 32192 36216 37222 42624 48288 55833 64384 72432 74444 85248 96576 111666 128768 144864 148888 167499 193152 223332 289728 297776 334998 386304 446664 579456 595552 669996 893328 1158912 1191104 1339992 1786656 2382208 2679984 3573312 4764416 5359968 7146624 10719936 14293248 21439872 42879744