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4100148 = 2232138761
BaseRepresentation
bin1111101001000000110100
321201022100100
433221000310
52022201043
6223514100
746564533
oct17510064
97638310
104100148
112350558
121458930
13b07330
1478a31a
1555ecd3
hex3e9034

4100148 has 36 divisors (see below), whose sum is σ = 11162788. Its totient is φ = 1261440.

The previous prime is 4100137. The next prime is 4100167. The reversal of 4100148 is 8410014.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 3640464 = 678^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41001482 = 33622427243808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4100148.

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, 3913 + ... + 4848.

Almost surely, 24100148 is an apocalyptic number.

It is an amenable number.

4100148 is an abundant number, since it is smaller than the sum of its proper divisors (7062640).

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

4100148 is a wasteful number, since it uses less digits than its factorization.

4100148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4100148 is about 2024.8822187969. The cubic root of 4100148 is about 160.0539921949.

The spelling of 4100148 in words is "four million, one hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8761 17522 26283 35044 52566 78849 105132 113893 157698 227786 315396 341679 455572 683358 1025037 1366716 2050074 4100148