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413452312 = 237131971421
BaseRepresentation
bin11000101001001…
…100100000011000
31001210222112221121
4120221030200120
51321320433222
6105005415024
713150200220
oct3051144030
91053875847
10413452312
111a2423929
12b656a474
1367871650
143cca7080
152646e5c7
hex18a4c818

413452312 has 128 divisors (see below), whose sum is σ = 1020902400. Its totient is φ = 152409600.

The previous prime is 413452307. The next prime is 413452313. The reversal of 413452312 is 213254314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413452313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981862 + ... + 982282.

It is an arithmetic number, because the mean of its divisors is an integer number (7975800).

Almost surely, 2413452312 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 413452312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510451200).

413452312 is an abundant number, since it is smaller than the sum of its proper divisors (607450088).

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

413452312 is a wasteful number, since it uses less digits than its factorization.

413452312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 413452312 is about 20333.5267968938. The cubic root of 413452312 is about 744.9751876787.

The spelling of 413452312 in words is "four hundred thirteen million, four hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 71 76 91 104 133 142 152 182 247 266 284 364 421 494 497 532 568 728 842 923 988 994 1064 1349 1684 1729 1846 1976 1988 2698 2947 3368 3458 3692 3976 5396 5473 5894 6461 6916 7384 7999 9443 10792 10946 11788 12922 13832 15998 17537 18886 21892 23576 25844 29891 31996 35074 37772 38311 43784 51688 55993 59782 63992 70148 75544 76622 103987 111986 119564 122759 140296 153244 207974 209237 223972 239128 245518 306488 388583 415948 418474 447944 491036 567929 727909 777166 831896 836948 982072 1135858 1455818 1554332 1673896 2271716 2720081 2911636 3108664 3975503 4543432 5440162 5823272 7383077 7951006 10880324 14766154 15902012 21760648 29532308 31804024 51681539 59064616 103363078 206726156 413452312