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1954054424 = 237234137003
BaseRepresentation
bin111010001111000…
…1000000100011000
312001011220020202002
41310132020010120
513000214220144
6521522100132
766265121450
oct16436100430
95034806662
101954054424
11913016013
124664aa648
13251aab52a
14147738d60
15b683914e
hex74788118

1954054424 has 64 divisors (see below), whose sum is σ = 4476003840. Its totient is φ = 781482240.

The previous prime is 1954054393. The next prime is 1954054429. The reversal of 1954054424 is 4244504591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954054429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34307 + ... + 71309.

It is an arithmetic number, because the mean of its divisors is an integer number (69937560).

Almost surely, 21954054424 is an apocalyptic number.

1954054424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1954054424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238001920).

1954054424 is an abundant number, since it is smaller than the sum of its proper divisors (2521949416).

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

1954054424 is a wasteful number, since it uses less digits than its factorization.

1954054424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37080 (or 37076 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 1954054424 is about 44204.6878057068. The cubic root of 1954054424 is about 1250.1982456773.

The spelling of 1954054424 in words is "one billion, nine hundred fifty-four million, fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 644 943 1148 1288 1886 2296 3772 6601 7544 13202 26404 37003 52808 74006 148012 259021 296024 518042 851069 1036084 1517123 1702138 2072168 3034246 3404276 5957483 6068492 6808552 10619861 11914966 12136984 21239722 23829932 34893829 42479444 47659864 69787658 84958888 139575316 244256803 279150632 488513606 977027212 1954054424