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1072358442 = 232192227727
BaseRepresentation
bin111111111010101…
…110010000101010
32202201211110020100
4333322232100222
54144010432232
6254224210230
735400616311
oct7772562052
92681743210
101072358442
11500355851
1225b169976
1314122332c
14a25c5278
1564225c7c
hex3feae42a

1072358442 has 72 divisors (see below), whose sum is σ = 2466356256. Its totient is φ = 336683952.

The previous prime is 1072358437. The next prime is 1072358449. The reversal of 1072358442 is 2448532701.

It is a happy number.

1072358442 is a `hidden beast` number, since 1 + 0 + 72 + 3 + 584 + 4 + 2 = 666.

It is a super-2 number, since 2×10723584422 = 2299905256257334728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072358397 and 1072358406.

It is not an unprimeable number, because it can be changed into a prime (1072358449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1474683 + ... + 1475409.

It is an arithmetic number, because the mean of its divisors is an integer number (34254948).

Almost surely, 21072358442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072358442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233178128).

1072358442 is an abundant number, since it is smaller than the sum of its proper divisors (1393997814).

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

1072358442 is a wasteful number, since it uses less digits than its factorization.

1072358442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1072358442 is about 32746.8844624951. The cubic root of 1072358442 is about 1023.5600457095.

The spelling of 1072358442 in words is "one billion, seventy-two million, three hundred fifty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 227 342 361 454 681 722 727 1083 1362 1454 2043 2166 2181 3249 4086 4313 4362 6498 6543 8626 12939 13086 13813 25878 27626 38817 41439 77634 81947 82878 124317 163894 165029 245841 248634 262447 330058 491682 495087 524894 737523 787341 990174 1475046 1485261 1574682 2362023 2970522 3135551 4724046 6271102 9406653 18813306 28219959 56439918 59575469 119150938 178726407 357452814 536179221 1072358442