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147442068 = 223241191523
BaseRepresentation
bin10001100100111…
…00100110010100
3101021102211111100
420302130212110
5300221121233
622344110100
73440144154
oct1062344624
9337384440
10147442068
1176255454
1241465330
1324714837
1415820764
15ce26813
hex8c9c994

147442068 has 72 divisors (see below), whose sum is σ = 384523776. Its totient is φ = 47606400.

The previous prime is 147442067. The next prime is 147442069. The reversal of 147442068 is 860244741.

It is an interprime number because it is at equal distance from previous prime (147442067) and next prime (147442069).

It is a super-2 number, since 2×1474420682 = 43478326832233248, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147442067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281655 + ... + 282177.

It is an arithmetic number, because the mean of its divisors is an integer number (5340608).

Almost surely, 2147442068 is an apocalyptic number.

147442068 is a gapful number since it is divisible by the number (18) 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 147442068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192261888).

147442068 is an abundant number, since it is smaller than the sum of its proper divisors (237081708).

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

147442068 is a wasteful number, since it uses less digits than its factorization.

147442068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 147442068 is about 12142.5725445640. The cubic root of 147442068 is about 528.2917206813.

The spelling of 147442068 in words is "one hundred forty-seven million, four hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 191 246 369 382 492 523 573 738 764 1046 1146 1476 1569 1719 2092 2292 3138 3438 4707 6276 6876 7831 9414 15662 18828 21443 23493 31324 42886 46986 64329 70479 85772 93972 99893 128658 140958 192987 199786 257316 281916 299679 385974 399572 599358 771948 899037 1198716 1798074 3596148 4095613 8191226 12286839 16382452 24573678 36860517 49147356 73721034 147442068