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661598928 = 24341730029
BaseRepresentation
bin100111011011110…
…011001011010000
31201002220201010000
4213123303023100
52323332131203
6145352210000
722252332564
oct4733631320
91632821100
10661598928
1130a501081
12165699900
13a70b5573
1463c1d6a4
153d1394a3
hex276f32d0

661598928 has 100 divisors (see below), whose sum is σ = 2027565540. Its totient is φ = 207553536.

The previous prime is 661598923. The next prime is 661598929. The reversal of 661598928 is 829895166.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 602800704 + 58798224 = 24552^2 + 7668^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661598923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7018 + ... + 37046.

Almost surely, 2661598928 is an apocalyptic number.

661598928 is a gapful number since it is divisible by the number (68) 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 661598928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013782770).

661598928 is an abundant number, since it is smaller than the sum of its proper divisors (1365966612).

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

661598928 is a wasteful number, since it uses less digits than its factorization.

661598928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30066 (or 30051 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 661598928 is about 25721.5654266998. The cubic root of 661598928 is about 871.3612933612.

The spelling of 661598928 in words is "six hundred sixty-one million, five hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 30029 60058 90087 120116 180174 240232 270261 360348 480464 510493 540522 720696 810783 1020986 1081044 1441392 1531479 1621566 2041972 2162088 2432349 3062958 3243132 4083944 4324176 4594437 4864698 6125916 6486264 8167888 9188874 9729396 12251832 12972528 13783311 18377748 19458792 24503664 27566622 36755496 38917584 41349933 55133244 73510992 82699866 110266488 165399732 220532976 330799464 661598928