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4008226080 = 253543194197
BaseRepresentation
bin1110111011101000…
…1010110100100000
3101100100011222111210
43232322022310200
531202101213310
61501422110120
7201220234215
oct35672126440
911310158453
104008226080
1117775a2641
1293a41b340
134bb541a11
142a0495b0c
15186d4c820
hexeee8ad20

4008226080 has 96 divisors (see below), whose sum is σ = 12919604544. Its totient is φ = 1043997696.

The previous prime is 4008226063. The next prime is 4008226087. The reversal of 4008226080 is 806228004.

It is a happy number.

4008226080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4008226087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76459 + ... + 117738.

It is an arithmetic number, because the mean of its divisors is an integer number (134579214).

Almost surely, 24008226080 is an apocalyptic number.

4008226080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008226080 is an abundant number, since it is smaller than the sum of its proper divisors (8911378464).

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

4008226080 is a wasteful number, since it uses less digits than its factorization.

4008226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194258 (or 194250 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4008226080 is about 63310.5526748898. The cubic root of 4008226080 is about 1588.4884808726.

The spelling of 4008226080 in words is "four billion, eight million, two hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 194197 388394 582591 776788 970985 1165182 1553576 1941970 2330364 2912955 3107152 3883940 4660728 5825910 6214304 7767880 8350471 9321456 11651820 15535760 16700942 18642912 23303640 25051413 31071520 33401884 41752355 46607280 50102826 66803768 83504710 93214560 100205652 125257065 133607536 167009420 200411304 250514130 267215072 334018840 400822608 501028260 668037680 801645216 1002056520 1336075360 2004113040 4008226080