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4132275456 = 28310949363
BaseRepresentation
bin1111011001001101…
…1000010100000000
3101122222121100021010
43312103120110000
531430330303311
61522013000520
7204254522211
oct36623302400
911588540233
104132275456
11183061a791
12973a83140
1350b155b0a
142b2b47408
15192ba2da6
hexf64d8500

4132275456 has 72 divisors (see below), whose sum is σ = 11099001760. Its totient is φ = 1364760576.

The previous prime is 4132275419. The next prime is 4132275457. The reversal of 4132275456 is 6545722314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132275457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59031 + ... + 108393.

Almost surely, 24132275456 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 4132275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549500880).

4132275456 is an abundant number, since it is smaller than the sum of its proper divisors (6966726304).

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

4132275456 is a wasteful number, since it uses less digits than its factorization.

4132275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49491 (or 49477 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 4132275456 is about 64282.7772890998. Note that the first 3 decimals coincide. The cubic root of 4132275456 is about 1604.7094910001.

The spelling of 4132275456 in words is "four billion, one hundred thirty-two million, two hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 5232 6976 10464 13952 20928 27904 41856 49363 83712 98726 148089 197452 296178 394904 592356 789808 1184712 1579616 2369424 3159232 4738848 5380567 6318464 9477696 10761134 12636928 16141701 18955392 21522268 32283402 37910784 43044536 64566804 86089072 129133608 172178144 258267216 344356288 516534432 688712576 1033068864 1377425152 2066137728 4132275456