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4149144 = 233419337
BaseRepresentation
bin1111110100111110011000
321210210120000
433310332120
52030233034
6224533000
750160426
oct17647630
97723500
104149144
11238434a
121481160
13b2371c
147a0116
1556e599
hex3f4f98

4149144 has 80 divisors (see below), whose sum is σ = 12269400. Its totient is φ = 1306368.

The previous prime is 4149137. The next prime is 4149151. The reversal of 4149144 is 4419414.

It is an interprime number because it is at equal distance from previous prime (4149137) and next prime (4149151).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12144 + ... + 12480.

Almost surely, 24149144 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 4149144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134700).

4149144 is an abundant number, since it is smaller than the sum of its proper divisors (8120256).

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

4149144 is a wasteful number, since it uses less digits than its factorization.

4149144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4149144 is about 2036.9447709744. The cubic root of 4149144 is about 160.6890078339.

The spelling of 4149144 in words is "four million, one hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 337 342 456 513 648 674 684 1011 1026 1348 1368 1539 2022 2052 2696 3033 3078 4044 4104 6066 6156 6403 8088 9099 12132 12312 12806 18198 19209 24264 25612 27297 36396 38418 51224 54594 57627 72792 76836 109188 115254 153672 172881 218376 230508 345762 461016 518643 691524 1037286 1383048 2074572 4149144