Search a number
-
+
451072002 = 232112831259
BaseRepresentation
bin11010111000101…
…101000000000010
31011102202211110110
4122320231000002
51410433301002
6112432012150
714115022503
oct3270550002
91142684413
10451072002
11211689087
12107091056
13725b3914
1443c9abaa
1529900e6c
hex1ae2d002

451072002 has 32 divisors (see below), whose sum is σ = 910344960. Its totient is φ = 148997520.

The previous prime is 451071991. The next prime is 451072007. The reversal of 451072002 is 200270154.

It is a super-3 number, since 3×4510720023 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 451072002.

It is not an unprimeable number, because it can be changed into a prime (451072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357649 + ... + 358907.

It is an arithmetic number, because the mean of its divisors is an integer number (28448280).

Almost surely, 2451072002 is an apocalyptic number.

451072002 is an abundant number, since it is smaller than the sum of its proper divisors (459272958).

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

451072002 is a wasteful number, since it uses less digits than its factorization.

451072002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 451072002 is about 21238.4557348222. The cubic root of 451072002 is about 766.9174574193.

The spelling of 451072002 in words is "four hundred fifty-one million, seventy-two thousand, two".

Divisors: 1 2 3 6 211 283 422 566 633 849 1259 1266 1698 2518 3777 7554 59713 119426 179139 265649 356297 358278 531298 712594 796947 1068891 1593894 2137782 75178667 150357334 225536001 451072002