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499137408 = 273271117331
BaseRepresentation
bin11101110000000…
…011101110000000
31021210012210210200
4131300003232000
52010234344113
6121310125200
715240412050
oct3560035600
91253183720
10499137408
11236828360
1211b1b0800
137c5425a3
144a40d560
152dc47873
hex1dc03b80

499137408 has 384 divisors, whose sum is σ = 1901802240. Its totient is φ = 121651200.

The previous prime is 499137407. The next prime is 499137409. The reversal of 499137408 is 804731994.

It is an interprime number because it is at equal distance from previous prime (499137407) and next prime (499137409).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499137407) 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, 1507803 + ... + 1508133.

It is an arithmetic number, because the mean of its divisors is an integer number (4952610).

Almost surely, 2499137408 is an apocalyptic number.

499137408 is a gapful number since it is divisible by the number (48) 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 499137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950901120).

499137408 is an abundant number, since it is smaller than the sum of its proper divisors (1402664832).

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

499137408 is a wasteful number, since it uses less digits than its factorization.

499137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 499137408 is about 22341.3833054267. The cubic root of 499137408 is about 793.2438367763.

The spelling of 499137408 in words is "four hundred ninety-nine million, one hundred thirty-seven thousand, four hundred eight".