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1054280416 = 25710743987
BaseRepresentation
bin111110110101110…
…000101011100000
32201110210222211211
4332311300223200
54124343433131
6252340515504
735061143560
oct7665605340
92643728754
101054280416
114a1128532
122550abb94
1313a563987
14a003ada0
15628545b1
hex3ed70ae0

1054280416 has 48 divisors (see below), whose sum is σ = 2394354816. Its totient is φ = 447601536.

The previous prime is 1054280411. The next prime is 1054280429. The reversal of 1054280416 is 6140824501.

It is a super-2 number, since 2×10542804162 = 2223014391122266112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054280411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975 + ... + 45961.

It is an arithmetic number, because the mean of its divisors is an integer number (49882392).

Almost surely, 21054280416 is an apocalyptic number.

1054280416 is a gapful number since it is divisible by the number (16) 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 1054280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197177408).

1054280416 is an abundant number, since it is smaller than the sum of its proper divisors (1340074400).

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

1054280416 is a wasteful number, since it uses less digits than its factorization.

1054280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44111 (or 44103 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1054280416 is about 32469.6845688405. The cubic root of 1054280416 is about 1017.7756268834.

The spelling of 1054280416 in words is "one billion, fifty-four million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 11984 23968 43987 87974 175948 307909 351896 615818 703792 1231636 1407584 2463272 4706609 4926544 9413218 9853088 18826436 32946263 37652872 65892526 75305744 131785052 150611488 263570104 527140208 1054280416