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1977025152 = 2735148503
BaseRepresentation
bin111010111010111…
…0000001010000000
312002210010021122210
41311311300022000
513022104301102
6524102302120
766664302504
oct16565601200
95083107583
101977025152
11924a85293
12472127940
13256791b8b
1414a7d8304
15b887536c
hex75d70280

1977025152 has 32 divisors (see below), whose sum is σ = 5251474080. Its totient is φ = 659008256.

The previous prime is 1977025151. The next prime is 1977025153. The reversal of 1977025152 is 2515207791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1977025151) and next prime (1977025153).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1977025152.

It is not an unprimeable number, because it can be changed into a prime (1977025151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2573868 + ... + 2574635.

It is an arithmetic number, because the mean of its divisors is an integer number (164108565).

Almost surely, 21977025152 is an apocalyptic number.

1977025152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1977025152 is an abundant number, since it is smaller than the sum of its proper divisors (3274448928).

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

1977025152 is an equidigital number, since it uses as much as digits as its factorization.

1977025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148520 (or 5148508 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The square root of 1977025152 is about 44463.7509888673. The cubic root of 1977025152 is about 1255.0780419504.

The spelling of 1977025152 in words is "one billion, nine hundred seventy-seven million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5148503 10297006 15445509 20594012 30891018 41188024 61782036 82376048 123564072 164752096 247128144 329504192 494256288 659008384 988512576 1977025152