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242046552 = 233116311453
BaseRepresentation
bin11100110110101…
…01011001011000
3121212110020110010
432123111121120
5443430442202
640003521520
75666235036
oct1633253130
9555406403
10242046552
111146a1180
12690892a0
133b1b9517
1424209556
15163b276c
hexe6d5658

242046552 has 64 divisors (see below), whose sum is σ = 661628160. Its totient is φ = 73180800.

The previous prime is 242046523. The next prime is 242046559. The reversal of 242046552 is 255640242.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242046559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165858 + ... + 167310.

It is an arithmetic number, because the mean of its divisors is an integer number (10337940).

Almost surely, 2242046552 is an apocalyptic number.

242046552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242046552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330814080).

242046552 is an abundant number, since it is smaller than the sum of its proper divisors (419581608).

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

242046552 is a wasteful number, since it uses less digits than its factorization.

242046552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 242046552 is about 15557.8453521045. The cubic root of 242046552 is about 623.2079241606.

Adding to 242046552 its reverse (255640242), we get a palindrome (497686794).

The spelling of 242046552 in words is "two hundred forty-two million, forty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 631 1262 1453 1893 2524 2906 3786 4359 5048 5812 6941 7572 8718 11624 13882 15144 15983 17436 20823 27764 31966 34872 41646 47949 55528 63932 83292 95898 127864 166584 191796 383592 916843 1833686 2750529 3667372 5501058 7334744 10085273 11002116 20170546 22004232 30255819 40341092 60511638 80682184 121023276 242046552