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242633496 = 233721910859
BaseRepresentation
bin11100111011001…
…00101100011000
3121220120001120210
432131210230120
5444103232441
640024251120
76004231200
oct1635445430
9556501523
10242633496
11114a62156
1269310aa0
133b363721
142431d400
151647b616
hexe764b18

242633496 has 96 divisors (see below), whose sum is σ = 742824000. Its totient is φ = 65669184.

The previous prime is 242633473. The next prime is 242633507. The reversal of 242633496 is 694336242.

242633496 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16915 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (7737750).

Almost surely, 2242633496 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 242633496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371412000).

242633496 is an abundant number, since it is smaller than the sum of its proper divisors (500190504).

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

242633496 is a wasteful number, since it uses less digits than its factorization.

242633496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10890 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 242633496 is about 15576.6972108981. The cubic root of 242633496 is about 623.7112610562.

The spelling of 242633496 in words is "two hundred forty-two million, six hundred thirty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 10859 11172 21718 22344 32577 43436 65154 76013 86872 130308 152026 206321 228039 260616 304052 412642 456078 532091 608104 618963 825284 912156 1064182 1237926 1444247 1596273 1650568 1824312 2128364 2475852 2888494 3192546 4256728 4332741 4951704 5776988 6385092 8665482 10109729 11553976 12770184 17330964 20219458 30329187 34661928 40438916 60658374 80877832 121316748 242633496