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4147445148 = 22371135912503
BaseRepresentation
bin1111011100110100…
…1111110110011100
3101201001011001011120
43313031033312130
531443221221043
61523314050540
7204530462550
oct36715176634
911631131146
104147445148
111839140a20
12978b79a50
13511337772
142b4b75860
1519419c983
hexf734fd9c

4147445148 has 96 divisors (see below), whose sum is σ = 12099870720. Its totient is φ = 1074171840.

The previous prime is 4147445131. The next prime is 4147445149. The reversal of 4147445148 is 8415447414.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147445149) 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, 325465 + ... + 337967.

It is an arithmetic number, because the mean of its divisors is an integer number (126040320).

Almost surely, 24147445148 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 4147445148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049935360).

4147445148 is an abundant number, since it is smaller than the sum of its proper divisors (7952425572).

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

4147445148 is a wasteful number, since it uses less digits than its factorization.

4147445148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12885 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 4147445148 is about 64400.6610835634. The cubic root of 4147445148 is about 1606.6707366238.

The spelling of 4147445148 in words is "four billion, one hundred forty-seven million, four hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 359 462 718 924 1077 1436 2154 2513 3949 4308 5026 7539 7898 10052 11847 12503 15078 15796 23694 25006 27643 30156 37509 47388 50012 55286 75018 82929 87521 110572 137533 150036 165858 175042 262563 275066 331716 350084 412599 525126 550132 825198 962731 1050252 1650396 1925462 2888193 3850924 4488577 5776386 8977154 11552772 13465731 17954308 26931462 31420039 49374347 53862924 62840078 94260117 98748694 125680156 148123041 188520234 197497388 296246082 345620429 377040468 592492164 691240858 1036861287 1382481716 2073722574 4147445148