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1398479952 = 243195572753
BaseRepresentation
bin101001101011011…
…0001110001010000
310121110111010211210
41103112301301100
510331002324302
6350434140120
746440612012
oct12326616120
93543433753
101398479952
11658450761
12330421640
1319396893c
14d3a381b2
1582b9466c
hex535b1c50

1398479952 has 80 divisors (see below), whose sum is σ = 3811095360. Its totient is φ = 440672256.

The previous prime is 1398479921. The next prime is 1398479983. The reversal of 1398479952 is 2599748931.

It is an interprime number because it is at equal distance from previous prime (1398479921) and next prime (1398479983).

It is a super-2 number, since 2×13984799522 = 3911492352291844608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1398479892 and 1398479901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506608 + ... + 509360.

It is an arithmetic number, because the mean of its divisors is an integer number (47638692).

Almost surely, 21398479952 is an apocalyptic number.

1398479952 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 1398479952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905547680).

1398479952 is an abundant number, since it is smaller than the sum of its proper divisors (2412615408).

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

1398479952 is a wasteful number, since it uses less digits than its factorization.

1398479952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3334 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 1398479952 is about 37396.2558553661. The cubic root of 1398479952 is about 1118.2839238231.

The spelling of 1398479952 in words is "one billion, three hundred ninety-eight million, four hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 557 912 1114 1671 2228 2753 3342 4456 5506 6684 8259 8912 10583 11012 13368 16518 21166 22024 26736 31749 33036 42332 44048 52307 63498 66072 84664 104614 126996 132144 156921 169328 209228 253992 313842 418456 507984 627684 836912 1255368 1533421 2510736 3066842 4600263 6133684 9200526 12267368 18401052 24534736 29134999 36802104 58269998 73604208 87404997 116539996 174809994 233079992 349619988 466159984 699239976 1398479952