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4438349640 = 233451369861
BaseRepresentation
bin1000010001000101…
…11101011101001000
3102110022112112010000
410020202331131020
533042204142030
62012225123000
7214662230604
oct41042753510
912408475100
104438349640
11197837285a
12a3a489460
1355969c5ba
1430165c504
151ae9b1860
hex1088bd748

4438349640 has 80 divisors (see below), whose sum is σ = 14917797180. Its totient is φ = 1183559040.

The previous prime is 4438349623. The next prime is 4438349653. The reversal of 4438349640 is 469438344.

It is a happy number.

4438349640 is a `hidden beast` number, since 4 + 43 + 83 + 496 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4062532644 + 375816996 = 63738^2 + 19386^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 681691 + ... + 688170.

Almost surely, 24438349640 is an apocalyptic number.

4438349640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4438349640 is an abundant number, since it is smaller than the sum of its proper divisors (10479447540).

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

4438349640 is a wasteful number, since it uses less digits than its factorization.

4438349640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369884 (or 1369871 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4438349640 is about 66620.9399513396. The cubic root of 4438349640 is about 1643.3894850663.

The spelling of 4438349640 in words is "four billion, four hundred thirty-eight million, three hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1369861 2739722 4109583 5479444 6849305 8219166 10958888 12328749 13698610 16438332 20547915 24657498 27397220 32876664 36986247 41095830 49314996 54794440 61643745 73972494 82191660 98629992 110958741 123287490 147944988 164383320 184931235 221917482 246574980 295889976 369862470 443834964 493149960 554793705 739724940 887669928 1109587410 1479449880 2219174820 4438349640