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42741504 = 2832131427
BaseRepresentation
bin1010001100001…
…0111100000000
32222102111022200
42203002330000
541420212004
64124033200
71026203541
oct243027400
988374280
1042741504
1122143363
1212392800
138b16640
1459684c8
153b44239
hex28c2f00

42741504 has 108 divisors (see below), whose sum is σ = 132806856. Its totient is φ = 13142016.

The previous prime is 42741499. The next prime is 42741533. The reversal of 42741504 is 40514724.

It is a congruent number.

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, 29239 + ... + 30665.

Almost surely, 242741504 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 42741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66403428).

42741504 is an abundant number, since it is smaller than the sum of its proper divisors (90065352).

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

42741504 is a wasteful number, since it uses less digits than its factorization.

42741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42741504 is about 6537.6986776694. The cubic root of 42741504 is about 349.6363679139.

It can be divided in two parts, 4274 and 1504, that added together give a triangular number (5778 = T107).

The spelling of 42741504 in words is "forty-two million, seven hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1427 1664 1872 2304 2496 2854 3328 3744 4281 4992 5708 7488 8562 9984 11416 12843 14976 17124 18551 22832 25686 29952 34248 37102 45664 51372 55653 68496 74204 91328 102744 111306 136992 148408 166959 182656 205488 222612 273984 296816 333918 365312 410976 445224 547968 593632 667836 821952 890448 1095936 1187264 1335672 1643904 1780896 2374528 2671344 3287808 3561792 4749056 5342688 7123584 10685376 14247168 21370752 42741504