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4026778920 = 233454130313
BaseRepresentation
bin1111000000000011…
…1100010100101000
3101101122002120020000
43300000330110220
531221323411140
61503323503000
7201534025143
oct36000742450
911348076200
104026778920
11178701466a
12944687a60
134c2339528
142a2b2505a
151887b4a30
hexf003c528

4026778920 has 160 divisors (see below), whose sum is σ = 13865017320. Its totient is φ = 1047582720.

The previous prime is 4026778919. The next prime is 4026778957. The reversal of 4026778920 is 298776204.

It can be written as a sum of positive squares in 4 ways, for example, as 3071598084 + 955180836 = 55422^2 + 30906^2 .

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 39 ways as a sum of consecutive naturals, for example, 117684 + ... + 147996.

Almost surely, 24026778920 is an apocalyptic number.

4026778920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4026778920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932508660).

4026778920 is an abundant number, since it is smaller than the sum of its proper divisors (9838238400).

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

4026778920 is a wasteful number, since it uses less digits than its factorization.

4026778920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30377 (or 30364 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4026778920 is about 63456.9060071479. The cubic root of 4026778920 is about 1590.9355832343.

The spelling of 4026778920 in words is "four billion, twenty-six million, seven hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 30313 33210 44280 60626 66420 90939 121252 132840 151565 181878 242504 272817 303130 363756 454695 545634 606260 727512 818451 909390 1091268 1212520 1242833 1364085 1636902 1818780 2182536 2455353 2485666 2728170 3273804 3637560 3728499 4092255 4910706 4971332 5456340 6214165 6547608 7456998 8184510 9821412 9942664 10912680 11185497 12276765 12428330 14913996 16369020 18642495 19642824 22370994 24553530 24856660 29827992 32738040 33556491 37284990 44741988 49107060 49713320 55927485 67112982 74569980 89483976 98214120 100669473 111854970 134225964 149139960 167782455 201338946 223709940 268451928 335564910 402677892 447419880 503347365 671129820 805355784 1006694730 1342259640 2013389460 4026778920