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19421948 = 22713229233
BaseRepresentation
bin100101000010…
…1101011111100
31100112201220102
41022011223330
514433000243
61532140232
7324040520
oct112055374
940481812
1019421948
11aa65aa7
126607678
1340402a0
142817d80
151a899b8
hex1285afc

19421948 has 48 divisors (see below), whose sum is σ = 42194880. Its totient is φ = 7617024.

The previous prime is 19421911. The next prime is 19421953. The reversal of 19421948 is 84912491.

It is a super-2 number, since 2×194219482 = 754424128229408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83240 + ... + 83472.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 219421948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19421948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097440).

19421948 is an abundant number, since it is smaller than the sum of its proper divisors (22772932).

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

19421948 is a wasteful number, since it uses less digits than its factorization.

19421948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 19421948 is about 4407.0339231733. The cubic root of 19421948 is about 268.8010302953.

The spelling of 19421948 in words is "nineteen million, four hundred twenty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 229 233 364 458 466 916 932 1603 1631 2977 3029 3206 3262 5954 6058 6412 6524 11908 12116 20839 21203 41678 42406 53357 83356 84812 106714 213428 373499 693641 746998 1387282 1493996 2774564 4855487 9710974 19421948