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1424218248 = 233317834673
BaseRepresentation
bin101010011100011…
…1101100010001000
310200020220210011000
41110320331202020
510404044440443
6353153535000
750202440535
oct12470754210
93606823130
101424218248
11670a30282
12338b74460
131990aabbb
14d7217d8c
158507a8d3
hex54e3d888

1424218248 has 128 divisors (see below), whose sum is σ = 4240252800. Its totient is φ = 441335808.

The previous prime is 1424218223. The next prime is 1424218273. The reversal of 1424218248 is 8428124241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1424218223) and next prime (1424218273).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302440 + ... + 307112.

It is an arithmetic number, because the mean of its divisors is an integer number (33126975).

Almost surely, 21424218248 is an apocalyptic number.

1424218248 is a gapful number since it is divisible by the number (18) 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 1424218248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120126400).

1424218248 is an abundant number, since it is smaller than the sum of its proper divisors (2816034552).

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

1424218248 is a wasteful number, since it uses less digits than its factorization.

1424218248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4778 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 1424218248 is about 37738.8161976499. The cubic root of 1424218248 is about 1125.1027390617.

The spelling of 1424218248 in words is "one billion, four hundred twenty-four million, two hundred eighteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 83 102 108 136 153 166 204 216 249 306 332 408 459 498 612 664 747 918 996 1224 1411 1494 1836 1992 2241 2822 2988 3672 4233 4482 4673 5644 5976 8466 8964 9346 11288 12699 14019 16932 17928 18692 25398 28038 33864 37384 38097 42057 50796 56076 76194 79441 84114 101592 112152 126171 152388 158882 168228 238323 252342 304776 317764 336456 387859 476646 504684 635528 714969 775718 953292 1009368 1163577 1429938 1551436 1906584 2144907 2327154 2859876 3102872 3490731 4289814 4654308 5719752 6593603 6981462 8579628 9308616 10472193 13187206 13962924 17159256 19780809 20944386 26374412 27925848 39561618 41888772 52748824 59342427 79123236 83777544 118684854 158246472 178027281 237369708 356054562 474739416 712109124 1424218248