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284407542 = 232195571493
BaseRepresentation
bin10000111100111…
…011011011110110
3201211011101210200
4100330323123312
51040302020132
644115501330
710022265336
oct2074733366
9654141720
10284407542
111365a4661
127b2b7846
1346bcb8b3
1429ab50c6
1519e7dd7c
hex10f3b6f6

284407542 has 48 divisors (see below), whose sum is σ = 650248560. Its totient is φ = 89591616.

The previous prime is 284407537. The next prime is 284407549. The reversal of 284407542 is 245704482.

It is a junction number, because it is equal to n+sod(n) for n = 284407497 and 284407506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284407549) 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, 189748 + ... + 191240.

It is an arithmetic number, because the mean of its divisors is an integer number (13546845).

Almost surely, 2284407542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284407542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325124280).

284407542 is an abundant number, since it is smaller than the sum of its proper divisors (365841018).

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

284407542 is a wasteful number, since it uses less digits than its factorization.

284407542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 284407542 is about 16864.3867958488. The cubic root of 284407542 is about 657.6281115329.

The spelling of 284407542 in words is "two hundred eighty-four million, four hundred seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 557 1114 1493 1671 2986 3342 4479 5013 8958 10026 10583 13437 21166 26874 28367 31749 56734 63498 85101 95247 170202 190494 255303 510606 831601 1663202 2494803 4989606 7484409 14968818 15800419 31600838 47401257 94802514 142203771 284407542