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506551696 = 24743107983
BaseRepresentation
bin11110001100010…
…101110110010000
31022022011111021221
4132030111312100
52014134123241
6122133054424
715360422050
oct3614256620
91268144257
10506551696
1123aa31872
12121787414
1380c3a241
144b3bd560
152e70e5d1
hex1e315d90

506551696 has 80 divisors (see below), whose sum is σ = 1159640064. Its totient is φ = 209849472.

The previous prime is 506551693. The next prime is 506551699. The reversal of 506551696 is 696155605.

It is an interprime number because it is at equal distance from previous prime (506551693) and next prime (506551699).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (506551693) 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, 514821 + ... + 515803.

Almost surely, 2506551696 is an apocalyptic number.

506551696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506551696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579820032).

506551696 is an abundant number, since it is smaller than the sum of its proper divisors (653088368).

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

506551696 is a wasteful number, since it uses less digits than its factorization.

506551696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 506551696 is about 22506.7033570001. The cubic root of 506551696 is about 797.1522163558.

The spelling of 506551696 in words is "five hundred six million, five hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 107 112 172 214 301 344 428 602 688 749 856 983 1204 1498 1712 1966 2408 2996 3932 4601 4816 5992 6881 7864 9202 11984 13762 15728 18404 27524 32207 36808 42269 55048 64414 73616 84538 105181 110096 128828 169076 210362 257656 295883 338152 420724 515312 591766 676304 736267 841448 1183532 1472534 1682896 2367064 2945068 4522783 4734128 5890136 9045566 11780272 18091132 31659481 36182264 63318962 72364528 126637924 253275848 506551696