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1954424016 = 243231437819
BaseRepresentation
bin111010001111110…
…0010010011010000
312001012121000201200
41310133202103100
513000313032031
6521534031200
766301221126
oct16437422320
95035530650
101954424016
11913248766
12466648500
13251baa81c
141477d3916
15b68ad8e6
hex747e24d0

1954424016 has 60 divisors (see below), whose sum is σ = 5646126720. Its totient is φ = 630457920.

The previous prime is 1954423981. The next prime is 1954424041. The reversal of 1954424016 is 6104244591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214446 + ... + 223373.

It is an arithmetic number, because the mean of its divisors is an integer number (94102112).

Almost surely, 21954424016 is an apocalyptic number.

1954424016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1954424016 is an abundant number, since it is smaller than the sum of its proper divisors (3691702704).

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

1954424016 is a wasteful number, since it uses less digits than its factorization.

1954424016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437864 (or 437855 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1954424016 is about 44208.8680696532. The cubic root of 1954424016 is about 1250.2770619981.

The spelling of 1954424016 in words is "one billion, nine hundred fifty-four million, four hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 437819 875638 1313457 1751276 2626914 3502552 3940371 5253828 7005104 7880742 10507656 13572389 15761484 21015312 27144778 31522968 40717167 54289556 63045936 81434334 108579112 122151501 162868668 217158224 244303002 325737336 488606004 651474672 977212008 1954424016