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147450016 = 2572271347
BaseRepresentation
bin10001100100111…
…10100010100000
3101021110020101201
420302132202200
5300221400031
622344210544
73440206300
oct1062364240
9337406351
10147450016
117626041a
1241469a54
132471833c
1415823600
15ce28d61
hex8c9e8a0

147450016 has 72 divisors (see below), whose sum is σ = 339909696. Its totient is φ = 62778240.

The previous prime is 147450011. The next prime is 147450019. The reversal of 147450016 is 610054741.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (147450011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424755 + ... + 425101.

It is an arithmetic number, because the mean of its divisors is an integer number (4720968).

Almost surely, 2147450016 is an apocalyptic number.

147450016 is a gapful number since it is divisible by the number (16) 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 147450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169954848).

147450016 is an abundant number, since it is smaller than the sum of its proper divisors (192459680).

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

147450016 is a wasteful number, since it uses less digits than its factorization.

147450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 147450016 is about 12142.8998184124. The cubic root of 147450016 is about 528.3012131941.

The spelling of 147450016 in words is "one hundred forty-seven million, four hundred fifty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 271 347 392 542 694 784 1084 1388 1568 1897 2168 2429 2776 3794 4336 4858 5552 7588 8672 9716 11104 13279 15176 17003 19432 26558 30352 34006 38864 53116 60704 68012 77728 94037 106232 136024 188074 212464 272048 376148 424928 544096 658259 752296 1316518 1504592 2633036 3009184 4607813 5266072 9215626 10532144 18431252 21064288 36862504 73725008 147450016