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442270416 = 24372945389
BaseRepresentation
bin11010010111001…
…000001011010000
31010211012122221210
4122113020023100
51401210123131
6111515220120
713650144060
oct3227101320
91124178853
10442270416
11207717345
12104147640
1370821693
1442a493a0
1528c63146
hex1a5c82d0

442270416 has 80 divisors (see below), whose sum is σ = 1350806400. Its totient is φ = 122002944.

The previous prime is 442270373. The next prime is 442270441. The reversal of 442270416 is 614072244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12951 + ... + 32438.

It is an arithmetic number, because the mean of its divisors is an integer number (16885080).

Almost surely, 2442270416 is an apocalyptic number.

It is an amenable number.

442270416 is an abundant number, since it is smaller than the sum of its proper divisors (908535984).

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

442270416 is a wasteful number, since it uses less digits than its factorization.

442270416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45436 (or 45430 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 442270416 is about 21030.2262469998. The cubic root of 442270416 is about 761.8964732838.

The spelling of 442270416 in words is "four hundred forty-two million, two hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 45389 90778 136167 181556 272334 317723 363112 544668 635446 726224 953169 1089336 1270892 1316281 1906338 2178672 2541784 2632562 3812676 3948843 5083568 5265124 7625352 7897686 9213967 10530248 15250704 15795372 18427934 21060496 27641901 31590744 36855868 55283802 63181488 73711736 110567604 147423472 221135208 442270416