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507714416 = 24114373919
BaseRepresentation
bin11110010000110…
…001101101110000
31022101100120020122
4132100301231300
52014433330131
6122214025412
715403333646
oct3620615560
91271316218
10507714416
112406563a0
12122048268
1381256541
144b603196
152e88dd7b
hex1e431b70

507714416 has 80 divisors (see below), whose sum is σ = 1114333440. Its totient is φ = 222082560.

The previous prime is 507714413. The next prime is 507714419. The reversal of 507714416 is 614417705.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (507714413) and next prime (507714419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507714413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552005 + ... + 552923.

It is an arithmetic number, because the mean of its divisors is an integer number (13929168).

Almost surely, 2507714416 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 507714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557166720).

507714416 is an abundant number, since it is smaller than the sum of its proper divisors (606619024).

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

507714416 is a wasteful number, since it uses less digits than its factorization.

507714416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 507714416 is about 22532.5190779904. The cubic root of 507714416 is about 797.7616681791.

The spelling of 507714416 in words is "five hundred seven million, seven hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 43 44 73 86 88 146 172 176 292 344 473 584 688 803 919 946 1168 1606 1838 1892 3139 3212 3676 3784 6278 6424 7352 7568 10109 12556 12848 14704 20218 25112 34529 39517 40436 50224 67087 69058 79034 80872 134174 138116 158068 161744 268348 276232 316136 434687 536696 552464 632272 737957 869374 1073392 1475914 1738748 2884741 2951828 3477496 5769482 5903656 6954992 11538964 11807312 23077928 31732151 46155856 63464302 126928604 253857208 507714416