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4145952 = 253192273
BaseRepresentation
bin1111110100001100100000
321210122011210
433310030200
52030132302
6224510120
750145216
oct17641440
97718153
104145952
112381a08
12147b340
13b22135
1479ccb6
1556d66c
hex3f4320

4145952 has 48 divisors (see below), whose sum is σ = 11460960. Its totient is φ = 1308672.

The previous prime is 4145951. The next prime is 4145959. The reversal of 4145952 is 2595414.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4145951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (238770).

Almost surely, 24145952 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 4145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730480).

4145952 is an abundant number, since it is smaller than the sum of its proper divisors (7315008).

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

4145952 is a wasteful number, since it uses less digits than its factorization.

4145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2297 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 4145952 is about 2036.1610938234. The cubic root of 4145952 is about 160.6477904245.

The spelling of 4145952 in words is "four million, one hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2273 4546 6819 9092 13638 18184 27276 36368 43187 54552 72736 86374 109104 129561 172748 218208 259122 345496 518244 690992 1036488 1381984 2072976 4145952