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669442368 = 26371992503
BaseRepresentation
bin100111111001101…
…110000101000000
31201122200012021210
4213321232011000
52332334123433
6150232250120
722406111010
oct4771560500
91648605253
10669442368
11313978a61
12168240940
13a890065a
1464ca1c40
153db88463
hex27e6e140

669442368 has 112 divisors (see below), whose sum is σ = 2035251200. Its totient is φ = 190232064.

The previous prime is 669442363. The next prime is 669442373. The reversal of 669442368 is 863244966.

It is an interprime number because it is at equal distance from previous prime (669442363) and next prime (669442373).

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669442363) 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, 266205 + ... + 268707.

Almost surely, 2669442368 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 669442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017625600).

669442368 is an abundant number, since it is smaller than the sum of its proper divisors (1365808832).

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

669442368 is a wasteful number, since it uses less digits than its factorization.

669442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 669442368 is about 25873.5843670721. The cubic root of 669442368 is about 874.7911852189.

The spelling of 669442368 in words is "six hundred sixty-nine million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 199 224 336 398 448 597 672 796 1194 1344 1393 1592 2388 2503 2786 3184 4179 4776 5006 5572 6368 7509 8358 9552 10012 11144 12736 15018 16716 17521 19104 20024 22288 30036 33432 35042 38208 40048 44576 52563 60072 66864 70084 80096 89152 105126 120144 133728 140168 160192 210252 240288 267456 280336 420504 480576 498097 560672 841008 996194 1121344 1494291 1682016 1992388 2988582 3364032 3486679 3984776 5977164 6973358 7969552 10460037 11954328 13946716 15939104 20920074 23908656 27893432 31878208 41840148 47817312 55786864 83680296 95634624 111573728 167360592 223147456 334721184 669442368