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16402248 = 23323747131
BaseRepresentation
bin111110100100…
…011101001000
31010212022122200
4332210131020
513144332443
61343320200
7256262652
oct76443510
933768580
1016402248
119293285
1255b0060
133523995
14226d6d2
15168edd3
hexfa4748

16402248 has 96 divisors (see below), whose sum is σ = 46949760. Its totient is φ = 5166720.

The previous prime is 16402247. The next prime is 16402249. The reversal of 16402248 is 84220461.

16402248 is a `hidden beast` number, since 16 + 402 + 248 = 666.

16402248 is nontrivially palindromic in base 7.

16402248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16402247) and next prime (16402249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16402247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125143 + ... + 125273.

It is an arithmetic number, because the mean of its divisors is an integer number (489060).

Almost surely, 216402248 is an apocalyptic number.

16402248 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 16402248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23474880).

16402248 is an abundant number, since it is smaller than the sum of its proper divisors (30547512).

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

16402248 is a wasteful number, since it uses less digits than its factorization.

16402248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16402248 is about 4049.9688887694. The cubic root of 16402248 is about 254.0784266056.

The spelling of 16402248 in words is "sixteen million, four hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 131 141 148 188 222 262 282 296 333 376 393 423 444 524 564 666 786 846 888 1048 1128 1179 1332 1572 1692 1739 2358 2664 3144 3384 3478 4716 4847 5217 6157 6956 9432 9694 10434 12314 13912 14541 15651 18471 19388 20868 24628 29082 31302 36942 38776 41736 43623 49256 55413 58164 62604 73884 87246 110826 116328 125208 147768 174492 221652 227809 348984 443304 455618 683427 911236 1366854 1822472 2050281 2733708 4100562 5467416 8201124 16402248