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413691096 = 233713307617
BaseRepresentation
bin11000101010000…
…110110011011000
31001211102200111110
4120222012303120
51321401103341
6105014500320
713152213330
oct3052066330
91054380443
10413691096
111a2577275
12b66646a0
1367926240
143cd2a0c0
15264ba216
hex18a86cd8

413691096 has 128 divisors (see below), whose sum is σ = 1279111680. Its totient is φ = 108573696.

The previous prime is 413691077. The next prime is 413691121. The reversal of 413691096 is 690196314.

It is a super-2 number, since 2×4136910962 = 342280645819362432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670180 + ... + 670796.

It is an arithmetic number, because the mean of its divisors is an integer number (9993060).

Almost surely, 2413691096 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 413691096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639555840).

413691096 is an abundant number, since it is smaller than the sum of its proper divisors (865420584).

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

413691096 is a wasteful number, since it uses less digits than its factorization.

413691096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 413691096 is about 20339.3976311984. The cubic root of 413691096 is about 745.1185769849.

The spelling of 413691096 in words is "four hundred thirteen million, six hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 307 312 364 546 614 617 728 921 1092 1228 1234 1842 1851 2149 2184 2456 2468 3684 3702 3991 4298 4319 4936 6447 7368 7404 7982 8021 8596 8638 11973 12894 12957 14808 15964 16042 17192 17276 23946 24063 25788 25914 27937 31928 32084 34552 47892 48126 51576 51828 55874 56147 64168 83811 95784 96252 103656 111748 112294 167622 168441 189419 192504 223496 224588 335244 336882 378838 449176 568257 670488 673764 757676 1136514 1325933 1347528 1515352 2273028 2462447 2651866 3977799 4546056 4924894 5303732 7387341 7955598 9849788 10607464 14774682 15911196 17237129 19699576 29549364 31822392 34474258 51711387 59098728 68948516 103422774 137897032 206845548 413691096