Search a number
-
+
1630626144 = 25372426527
BaseRepresentation
bin110000100110001…
…0110000101100000
311012122022101112220
41201030112011200
511314420014034
6425445551040
755260044040
oct14114260540
94178271486
101630626144
1176749a614
12396115480
131cca99a54
141167c7720
159824d749
hex61316160

1630626144 has 48 divisors (see below), whose sum is σ = 4891880448. Its totient is φ = 465892992.

The previous prime is 1630626073. The next prime is 1630626167. The reversal of 1630626144 is 4416260361.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1212592 + ... + 1213935.

It is an arithmetic number, because the mean of its divisors is an integer number (101914176).

Almost surely, 21630626144 is an apocalyptic number.

1630626144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1630626144 is an abundant number, since it is smaller than the sum of its proper divisors (3261254304).

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

1630626144 is a wasteful number, since it uses less digits than its factorization.

1630626144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426547 (or 2426539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1630626144 is about 40381.0121715640. The cubic root of 1630626144 is about 1177.0225961239.

The spelling of 1630626144 in words is "one billion, six hundred thirty million, six hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2426527 4853054 7279581 9706108 14559162 16985689 19412216 29118324 33971378 38824432 50957067 58236648 67942756 77648864 101914134 116473296 135885512 203828268 232946592 271771024 407656536 543542048 815313072 1630626144