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607661376 = 26372811609
BaseRepresentation
bin100100001110000…
…010110101000000
31120100102101200220
4210032002311000
52221030131001
6140144143040
721026015340
oct4416026500
91510371626
10607661376
11292010a93
1214b607a80
1398b7bb5a
145a9bcd20
1538532c36
hex24382d40

607661376 has 112 divisors (see below), whose sum is σ = 1845137280. Its totient is φ = 172892160.

The previous prime is 607661339. The next prime is 607661419. The reversal of 607661376 is 673166706.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376860 + ... + 378468.

It is an arithmetic number, because the mean of its divisors is an integer number (16474440).

Almost surely, 2607661376 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 607661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922568640).

607661376 is an abundant number, since it is smaller than the sum of its proper divisors (1237475904).

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

607661376 is a wasteful number, since it uses less digits than its factorization.

607661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 607661376 is about 24650.7885472250. The cubic root of 607661376 is about 847.0074122573.

The spelling of 607661376 in words is "six hundred seven million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 281 336 448 562 672 843 1124 1344 1609 1686 1967 2248 3218 3372 3934 4496 4827 5901 6436 6744 7868 8992 9654 11263 11802 12872 13488 15736 17984 19308 22526 23604 25744 26976 31472 33789 38616 45052 47208 51488 53952 62944 67578 77232 90104 94416 102976 125888 135156 154464 180208 188832 270312 308928 360416 377664 452129 540624 720832 904258 1081248 1356387 1808516 2162496 2712774 3164903 3617032 5425548 6329806 7234064 9494709 10851096 12659612 14468128 18989418 21702192 25319224 28936256 37978836 43404384 50638448 75957672 86808768 101276896 151915344 202553792 303830688 607661376