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1426961408 = 21019711033
BaseRepresentation
bin101010100001101…
…1011010000000000
310200110002011001112
41111003123100000
510410300231113
6353332422452
750234654225
oct12503332000
93613064045
101426961408
11672534254
12339a77a28
1319982b682
14d772d94c
158541d5a8
hex550db400

1426961408 has 88 divisors (see below), whose sum is σ = 3047901120. Its totient is φ = 665763840.

The previous prime is 1426961387. The next prime is 1426961411. The reversal of 1426961408 is 8041696241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380860 + ... + 1381892.

It is an arithmetic number, because the mean of its divisors is an integer number (34635240).

Almost surely, 21426961408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523950560).

1426961408 is an abundant number, since it is smaller than the sum of its proper divisors (1620939712).

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

1426961408 is a wasteful number, since it uses less digits than its factorization.

1426961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 1426961408 is about 37775.1427264014. The cubic root of 1426961408 is about 1125.8246222046.

The spelling of 1426961408 in words is "one billion, four hundred twenty-six million, nine hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 512 568 608 1024 1033 1136 1216 1349 2066 2272 2432 2698 4132 4544 4864 5396 8264 9088 9728 10792 16528 18176 19456 19627 21584 33056 36352 39254 43168 66112 72704 73343 78508 86336 132224 146686 157016 172672 264448 293372 314032 345344 528896 586744 628064 690688 1057792 1173488 1256128 1381376 1393517 2346976 2512256 2787034 4693952 5024512 5574068 9387904 10049024 11148136 18775808 20098048 22296272 37551616 44592544 75103232 89185088 178370176 356740352 713480704 1426961408