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1398293952 = 263114389173
BaseRepresentation
bin101001101011000…
…0100010111000000
310121110010200200220
41103112010113000
510330430401302
6350430143040
746436205516
oct12326042700
93543120626
101398293952
11658333a40
12330351a80
13193902093
14d39ca4b6
1582b594bc
hex535845c0

1398293952 has 224 divisors, whose sum is σ = 4200387840. Its totient is φ = 406855680.

The previous prime is 1398293933. The next prime is 1398293969. The reversal of 1398293952 is 2593928931.

It is a junction number, because it is equal to n+sod(n) for n = 1398293895 and 1398293904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8082538 + ... + 8082710.

Almost surely, 21398293952 is an apocalyptic number.

1398293952 is a gapful number since it is divisible by the number (12) 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 1398293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100193920).

1398293952 is an abundant number, since it is smaller than the sum of its proper divisors (2802093888).

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

1398293952 is a wasteful number, since it uses less digits than its factorization.

1398293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 1398293952 is about 37393.7688926912. The cubic root of 1398293952 is about 1118.2343437936.

The spelling of 1398293952 in words is "one billion, three hundred ninety-eight million, two hundred ninety-three thousand, nine hundred fifty-two".