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550331964 = 2232713315419
BaseRepresentation
bin100000110011010…
…110011000111100
31102100112202112100
4200303112120330
52111341110324
6130335305100
716431513240
oct4063263074
91370482470
10550331964
11262714606
1213437b190
138a028620
1453138420
15334ab4c9
hex20cd663c

550331964 has 144 divisors (see below), whose sum is σ = 1767700480. Its totient is φ = 140434560.

The previous prime is 550331963. The next prime is 550331981. The reversal of 550331964 is 469133055.

550331964 is a `hidden beast` number, since 550 + 33 + 19 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550331963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98847 + ... + 104265.

Almost surely, 2550331964 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 550331964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883850240).

550331964 is an abundant number, since it is smaller than the sum of its proper divisors (1217368516).

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

550331964 is a wasteful number, since it uses less digits than its factorization.

550331964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 550331964 is about 23459.1552277570. The cubic root of 550331964 is about 819.4860769424.

The spelling of 550331964 in words is "five hundred fifty million, three hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5419 5642 7254 7812 8463 10838 11284 14508 16257 16926 21676 25389 32514 33852 37933 48771 50778 65028 70447 75866 97542 101556 113799 140894 151732 167989 195084 211341 227598 281788 335978 341397 422682 455196 493129 503967 634023 671956 682794 845364 986258 1007934 1175923 1268046 1365588 1479387 1511901 1972516 2015868 2183857 2351846 2536092 2958774 3023802 3527769 4367714 4438161 4703692 5917548 6047604 6551571 7055538 8735428 8876322 10583307 13103142 14111076 15286999 17752644 19654713 21166614 26206284 30573998 39309426 42333228 45860997 61147996 78618852 91721994 137582991 183443988 275165982 550331964