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1242215648 = 25234339251
BaseRepresentation
bin100101000001010…
…1011010011100000
310012120110002111222
41022002223103200
510021001400043
6323132554212
742532441652
oct11202532340
93176402458
101242215648
11588220003
122a8022968
1316a48565b
14bad9c6d2
15740c8d68
hex4a0ab4e0

1242215648 has 48 divisors (see below), whose sum is σ = 2611357056. Its totient is φ = 580272000.

The previous prime is 1242215633. The next prime is 1242215683. The reversal of 1242215648 is 8465122421.

It is a super-3 number, since 3×12422156483 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 12023 + ... + 51273.

It is an arithmetic number, because the mean of its divisors is an integer number (54403272).

Almost surely, 21242215648 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 1242215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305678528).

1242215648 is an abundant number, since it is smaller than the sum of its proper divisors (1369141408).

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

1242215648 is a wasteful number, since it uses less digits than its factorization.

1242215648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39327 (or 39319 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 1242215648 is about 35245.0797700899. The cubic root of 1242215648 is about 1074.9765700320.

The spelling of 1242215648 in words is "one billion, two hundred forty-two million, two hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1376 1978 3956 7912 15824 31648 39251 78502 157004 314008 628016 902773 1256032 1687793 1805546 3375586 3611092 6751172 7222184 13502344 14444368 27004688 28888736 38819239 54009376 77638478 155276956 310553912 621107824 1242215648