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450793431 = 35111371231
BaseRepresentation
bin11010110111101…
…000111111010111
31011102020200100000
4122313220333113
51410400342211
6112422022343
714112452364
oct3267507727
91142220300
10450793431
11211508860
12106b779b3
1372516b9a
1443c2746b
1529898656
hex1ade8fd7

450793431 has 48 divisors (see below), whose sum is σ = 742629888. Its totient is φ = 270993600.

The previous prime is 450793397. The next prime is 450793433. The reversal of 450793431 is 134397054.

It is not a de Polignac number, because 450793431 - 27 = 450793303 is a prime.

It is a super-2 number, since 2×4507934312 = 406429434865503522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450793433) 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, 365586 + ... + 366816.

It is an arithmetic number, because the mean of its divisors is an integer number (15471456).

Almost surely, 2450793431 is an apocalyptic number.

450793431 is a deficient number, since it is larger than the sum of its proper divisors (291836457).

450793431 is a wasteful number, since it uses less digits than its factorization.

450793431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 450793431 is about 21231.8965474119. The cubic root of 450793431 is about 766.7595484402.

It can be divided in two parts, 450 and 793431, that added together give a square (793881 = 8912).

The spelling of 450793431 in words is "four hundred fifty million, seven hundred ninety-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 137 243 297 411 891 1231 1233 1507 2673 3693 3699 4521 11079 11097 13541 13563 33237 33291 40623 40689 99711 121869 122067 168647 299133 365607 366201 505941 1096821 1517823 1855117 3290463 4553469 5565351 13660407 16696053 40981221 50088159 150264477 450793431