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1442328552 = 233371756113
BaseRepresentation
bin101010111111000…
…0010111111101000
310201111222212211000
41111332002333220
510423214003202
6355042035000
750512406340
oct12576027750
93644885730
101442328552
1168017a875
12343048a60
1319ca7c162
14d97add20
158695691c
hex55f82fe8

1442328552 has 128 divisors (see below), whose sum is σ = 4848249600. Its totient is φ = 387846144.

The previous prime is 1442328529. The next prime is 1442328553. The reversal of 1442328552 is 2558232441.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1442328553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2353 + ... + 53760.

It is an arithmetic number, because the mean of its divisors is an integer number (37876950).

Almost surely, 21442328552 is an apocalyptic number.

1442328552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442328552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424124800).

1442328552 is an abundant number, since it is smaller than the sum of its proper divisors (3405921048).

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

1442328552 is a wasteful number, since it uses less digits than its factorization.

1442328552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56152 (or 56142 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 1442328552 is about 37978.0008952551. Note that the first 3 decimals coincide. The cubic root of 1442328552 is about 1129.8515877867.

The spelling of 1442328552 in words is "one billion, four hundred forty-two million, three hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 56113 112226 168339 224452 336678 392791 448904 505017 673356 785582 953921 1010034 1178373 1346712 1515051 1571164 1907842 2020068 2356746 2861763 3030102 3142328 3535119 3815684 4040136 4713492 5723526 6060204 6677447 7070238 7631368 8585289 9426984 10605357 11447052 12120408 13354894 14140476 17170578 20032341 21210714 22894104 25755867 26709788 28280952 34341156 40064682 42421428 51511734 53419576 60097023 68682312 80129364 84842856 103023468 120194046 160258728 180291069 206046936 240388092 360582138 480776184 721164276 1442328552