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1479142440 = 2332520272
BaseRepresentation
bin101100000101001…
…1110110000101000
310211002021012222100
41120022132300220
511012130024230
6402435053400
751440334426
oct13012366050
93732235870
101479142440
11699a34676
12353441260
131a759b719
14100634116
1589cc9660
hex5829ec28

1479142440 has 72 divisors (see below), whose sum is σ = 4809585690. Its totient is φ = 394243392.

The previous prime is 1479142433. The next prime is 1479142459. The reversal of 1479142440 is 442419741.

1479142440 is a `hidden beast` number, since 1 + 4 + 79 + 142 + 440 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1331228196 + 147914244 = 36486^2 + 12162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1479142395 and 1479142404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 728707 + ... + 730733.

Almost surely, 21479142440 is an apocalyptic number.

1479142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1479142440 is an abundant number, since it is smaller than the sum of its proper divisors (3330443250).

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

1479142440 is an equidigital number, since it uses as much as digits as its factorization.

1479142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1479142440 is about 38459.6209029678. The cubic root of 1479142440 is about 1139.3836927259.

The spelling of 1479142440 in words is "one billion, four hundred seventy-nine million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2027 4054 6081 8108 10135 12162 16216 18243 20270 24324 30405 36486 40540 48648 60810 72972 81080 91215 121620 145944 182430 243240 364860 729720 4108729 8217458 12326187 16434916 20543645 24652374 32869832 36978561 41087290 49304748 61630935 73957122 82174580 98609496 123261870 147914244 164349160 184892805 246523740 295828488 369785610 493047480 739571220 1479142440