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1408905945 = 3251371731321
BaseRepresentation
bin101001111111010…
…0011001011011001
310122012002211121200
41103332203023121
510341134442240
6351445424413
746625334336
oct12376431331
93565084550
101408905945
11663321987
12333a0b109
13195b79375
14d518d98d
1583a53930
hex53fa32d9

1408905945 has 48 divisors (see below), whose sum is σ = 2476021392. Its totient is φ = 741058560.

The previous prime is 1408905941. The next prime is 1408905947. The reversal of 1408905945 is 5495098041.

It can be written as a sum of positive squares in 8 ways, for example, as 286387929 + 1122518016 = 16923^2 + 33504^2 .

It is not a de Polignac number, because 1408905945 - 22 = 1408905941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1408905945.

It is not an unprimeable number, because it can be changed into a prime (1408905941) 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, 1065885 + ... + 1067205.

It is an arithmetic number, because the mean of its divisors is an integer number (51583779).

Almost surely, 21408905945 is an apocalyptic number.

1408905945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1408905945 is a deficient number, since it is larger than the sum of its proper divisors (1067115447).

1408905945 is a wasteful number, since it uses less digits than its factorization.

1408905945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1408905945 is about 37535.3958950748. The cubic root of 1408905945 is about 1121.0560683674.

The spelling of 1408905945 in words is "one billion, four hundred eight million, nine hundred five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 137 173 411 519 685 865 1233 1321 1557 2055 2595 3963 6165 6605 7785 11889 19815 23701 59445 71103 118505 180977 213309 228533 355515 542931 685599 904885 1066545 1142665 1628793 2056797 2714655 3427995 8143965 10283985 31309021 93927063 156545105 281781189 469635315 1408905945