Search a number
-
+
42103584 = 253348731
BaseRepresentation
bin1010000010011…
…1001100100000
32221020002021000
42200213030200
541234303314
64102232000
71020605655
oct240471440
987202230
1042103584
1121848056
1212125600
138952183
14583dc2c
153a6a209
hex2827320

42103584 has 48 divisors (see below), whose sum is σ = 122804640. Its totient is φ = 14034240.

The previous prime is 42103541. The next prime is 42103613. The reversal of 42103584 is 48530124.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23502 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (2558430).

Almost surely, 242103584 is an apocalyptic number.

It is an amenable number.

42103584 is an abundant number, since it is smaller than the sum of its proper divisors (80701056).

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

42103584 is a wasteful number, since it uses less digits than its factorization.

42103584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48750 (or 48736 counting only the distinct ones).

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

The square root of 42103584 is about 6488.7274561350. The cubic root of 42103584 is about 347.8881923812. Note that the first 3 decimals are identical.

The spelling of 42103584 in words is "forty-two million, one hundred three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 48731 97462 146193 194924 292386 389848 438579 584772 779696 877158 1169544 1315737 1559392 1754316 2339088 2631474 3508632 4678176 5262948 7017264 10525896 14034528 21051792 42103584