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1153312542 = 232295341687
BaseRepresentation
bin100010010111110…
…0010011100011110
32222101011100101100
41010233202130132
54330222000132
6310235253530
740402665144
oct10457423436
92871140340
101153312542
11542018868
122822aa2a6
13154c28a75
14ad259594
156b3b737c
hex44be271e

1153312542 has 48 divisors (see below), whose sum is σ = 2633847840. Its totient is φ = 364168896.

The previous prime is 1153312507. The next prime is 1153312579. The reversal of 1153312542 is 2452133511.

1153312542 is a `hidden beast` number, since 1 + 1 + 533 + 125 + 4 + 2 = 666.

1153312542 is digitally balanced in base 4, because in such base 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, 6823 + ... + 48509.

It is an arithmetic number, because the mean of its divisors is an integer number (54871830).

Almost surely, 21153312542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153312542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316923920).

1153312542 is an abundant number, since it is smaller than the sum of its proper divisors (1480535298).

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

1153312542 is a wasteful number, since it uses less digits than its factorization.

1153312542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41777 (or 41774 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1153312542 is about 33960.4555623154. The cubic root of 1153312542 is about 1048.6945354122.

The spelling of 1153312542 in words is "one billion, one hundred fifty-three million, three hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 4611 9222 13833 27666 41687 83374 125061 250122 375183 750366 1208923 2209411 2417846 3626769 4418822 6628233 7253538 10880307 13256466 19884699 21760614 39769398 64072919 128145838 192218757 384437514 576656271 1153312542