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148764616 = 237111321429
BaseRepresentation
bin10001101110111…
…11011111001000
3101100221000200121
420313133133020
5301040431431
622432313024
73454323040
oct1067373710
9340830617
10148764616
1176a79070
12419a2774
1324a88800
1415a86720
15d0d8611
hex8ddf7c8

148764616 has 96 divisors (see below), whose sum is σ = 376833600. Its totient is φ = 53464320.

The previous prime is 148764607. The next prime is 148764619. The reversal of 148764616 is 616467841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148764619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103390 + ... + 104818.

It is an arithmetic number, because the mean of its divisors is an integer number (3925350).

Almost surely, 2148764616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148764616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188416800).

148764616 is an abundant number, since it is smaller than the sum of its proper divisors (228068984).

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

148764616 is a wasteful number, since it uses less digits than its factorization.

148764616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1462 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 148764616 is about 12196.9101005132. The cubic root of 148764616 is about 529.8666046154.

The spelling of 148764616 in words is "one hundred forty-eight million, seven hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1352 1429 1859 2002 2366 2858 3718 4004 4732 5716 7436 8008 9464 10003 11432 13013 14872 15719 18577 20006 26026 31438 37154 40012 52052 62876 74308 80024 104104 110033 125752 130039 148616 204347 220066 241501 260078 408694 440132 483002 520156 817388 880264 966004 1040312 1430429 1634776 1690507 1932008 2656511 2860858 3381014 5313022 5721716 6762028 10626044 11443432 13524056 18595577 21252088 37191154 74382308 148764616