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2419124904 = 233272977069
BaseRepresentation
bin1001000000110000…
…1110101010101000
320020121000021111200
42100030032222220
514423243444104
61040014124200
7113643136200
oct22014165250
96217007450
102419124904
111031595389
125761b0660
132c7253971
1418d3db400
15e25a2b39
hex9030eaa8

2419124904 has 144 divisors (see below), whose sum is σ = 7701138900. Its totient is φ = 683956224.

The previous prime is 2419124879. The next prime is 2419124941. The reversal of 2419124904 is 4094219142.

It can be written as a sum of positive squares in 2 ways, for example, as 2394144900 + 24980004 = 48930^2 + 4998^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338682 + ... + 345750.

Almost surely, 22419124904 is an apocalyptic number.

2419124904 is a gapful number since it is divisible by the number (24) 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 2419124904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850569450).

2419124904 is an abundant number, since it is smaller than the sum of its proper divisors (5282013996).

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

2419124904 is a wasteful number, since it uses less digits than its factorization.

2419124904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2419124904 is about 49184.6002728496. The cubic root of 2419124904 is about 1342.4128399662.

The spelling of 2419124904 in words is "two billion, four hundred nineteen million, one hundred twenty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 97 98 126 147 168 194 196 252 291 294 388 392 441 504 582 588 679 776 873 882 1164 1176 1358 1746 1764 2037 2328 2716 3492 3528 4074 4753 5432 6111 6984 7069 8148 9506 12222 14138 14259 16296 19012 21207 24444 28276 28518 38024 42414 42777 48888 49483 56552 57036 63621 84828 85554 98966 114072 127242 148449 169656 171108 197932 254484 296898 342216 346381 395864 445347 508968 593796 685693 692762 890694 1039143 1187592 1371386 1385524 1781388 2057079 2078286 2742772 2771048 3117429 3562776 4114158 4156572 4799851 5485544 6171237 6234858 8228316 8313144 9599702 12342474 12469716 14399553 16456632 19199404 24684948 24939432 28799106 33598957 38398808 43198659 49369896 57598212 67197914 86397318 100796871 115196424 134395828 172794636 201593742 268791656 302390613 345589272 403187484 604781226 806374968 1209562452 2419124904