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454690640 = 24531183343
BaseRepresentation
bin11011000110100…
…000011101010000
31011200120200022002
4123012200131100
51412400100030
6113041333132
714160543455
oct3306403520
91150520262
10454690640
1121372a898
121083371a8
137327ca21
144455d82c
1529db8245
hex1b1a0750

454690640 has 40 divisors (see below), whose sum is σ = 1091263488. Its totient is φ = 176008320.

The previous prime is 454690631. The next prime is 454690667. The reversal of 454690640 is 46096454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 454690594 and 454690603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89192 + ... + 94151.

Almost surely, 2454690640 is an apocalyptic number.

454690640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454690640 is an abundant number, since it is smaller than the sum of its proper divisors (636572848).

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

454690640 is a wasteful number, since it uses less digits than its factorization.

454690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183387 (or 183381 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 454690640 is about 21323.4762644368. The cubic root of 454690640 is about 768.9628133576.

The spelling of 454690640 in words is "four hundred fifty-four million, six hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 183343 366686 733372 916715 1466744 1833430 2933488 3666860 5683633 7333720 11367266 14667440 22734532 28418165 45469064 56836330 90938128 113672660 227345320 454690640