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18899424 = 2532137479
BaseRepresentation
bin100100000011…
…0000111100000
31022120012010200
41020012013200
514314240144
61513025200
7316433235
oct110060740
938505120
1018899424
11a739465
1263b5200
133bb94bb
14271d78c
1519d4c69
hex12061e0

18899424 has 72 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 6240768.

The previous prime is 18899381. The next prime is 18899449. The reversal of 18899424 is 42499881.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18899424.

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, 39217 + ... + 39695.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 218899424 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 18899424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

18899424 is an abundant number, since it is smaller than the sum of its proper divisors (35351136).

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

18899424 is a wasteful number, since it uses less digits than its factorization.

18899424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18899424 is about 4347.3467770584. The cubic root of 18899424 is about 266.3684945021.

The spelling of 18899424 in words is "eighteen million, eight hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 479 548 822 958 1096 1233 1437 1644 1916 2192 2466 2874 3288 3832 4311 4384 4932 5748 6576 7664 8622 9864 11496 13152 15328 17244 19728 22992 34488 39456 45984 65623 68976 131246 137952 196869 262492 393738 524984 590607 787476 1049968 1181214 1574952 2099936 2362428 3149904 4724856 6299808 9449712 18899424