Search a number
-
+
422727408 = 243231281337
BaseRepresentation
bin11001001100100…
…100111011110000
31002110102202222200
4121030210323300
51331204234113
6105540303200
713322060265
oct3114447360
91073382880
10422727408
111a76893a4
12b96a1b00
136976b27c
14401dd26c
15271a2873
hex19324ef0

422727408 has 120 divisors (see below), whose sum is σ = 1229195136. Its totient is φ = 135475200.

The previous prime is 422727401. The next prime is 422727433. The reversal of 422727408 is 804727224.

422727408 is a `hidden beast` number, since 4 + 227 + 27 + 408 = 666.

It is a super-2 number, since 2×4227274082 = 357396922948796928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422727401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254216 + ... + 1254552.

Almost surely, 2422727408 is an apocalyptic number.

422727408 is a gapful number since it is divisible by the number (48) 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 422727408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614597568).

422727408 is an abundant number, since it is smaller than the sum of its proper divisors (806467728).

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

422727408 is a wasteful number, since it uses less digits than its factorization.

422727408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 422727408 is about 20560.3357949232. The cubic root of 422727408 is about 750.5047908387.

The spelling of 422727408 in words is "four hundred twenty-two million, seven hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 281 337 372 496 558 562 674 744 843 1011 1116 1124 1348 1488 1686 2022 2232 2248 2529 2696 3033 3372 4044 4464 4496 5058 5392 6066 6744 8088 8711 10116 10447 12132 13488 16176 17422 20232 20894 24264 26133 31341 34844 40464 41788 48528 52266 62682 69688 78399 83576 94023 94697 104532 125364 139376 156798 167152 188046 189394 209064 250728 284091 313596 376092 378788 418128 501456 568182 627192 752184 757576 852273 1136364 1254384 1504368 1515152 1704546 2272728 2935607 3409092 4545456 5871214 6818184 8806821 11742428 13636368 17613642 23484856 26420463 35227284 46969712 52840926 70454568 105681852 140909136 211363704 422727408