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3987216072 = 233277911143
BaseRepresentation
bin1110110110101000…
…0001011011001000
3101021212122120012100
43231222001123020
531131211403242
61455351513400
7200543530440
oct35552013310
911255576170
103987216072
1117667524a4
12933388860
134b7096968
1429b787120
1518509c54c
hexeda816c8

3987216072 has 48 divisors (see below), whose sum is σ = 12341384640. Its totient is φ = 1139204448.

The previous prime is 3987216071. The next prime is 3987216131. The reversal of 3987216072 is 2706127893.

3987216072 is a `hidden beast` number, since 39 + 8 + 7 + 2 + 1 + 607 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3987216071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3955068 + ... + 3956075.

It is an arithmetic number, because the mean of its divisors is an integer number (257112180).

Almost surely, 23987216072 is an apocalyptic number.

It is an amenable number.

3987216072 is an abundant number, since it is smaller than the sum of its proper divisors (8354168568).

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

3987216072 is a wasteful number, since it uses less digits than its factorization.

3987216072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911162 (or 7911155 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3987216072 is about 63144.4064981214. The cubic root of 3987216072 is about 1585.7081454561.

The spelling of 3987216072 in words is "three billion, nine hundred eighty-seven million, two hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 7911143 15822286 23733429 31644572 47466858 55378001 63289144 71200287 94933716 110756002 142400574 166134003 189867432 221512004 284801148 332268006 443024008 498402009 569602296 664536012 996804018 1329072024 1993608036 3987216072