Search a number
-
+
4022497152 = 273310611097
BaseRepresentation
bin1110111111000010…
…0110111110000000
3101101100001000202000
43233300212332000
531214224402102
61503052024000
7201452442642
oct35760467600
911340030660
104022497152
11178465a713
12943162000
134c149a63b
142a232c892
1518821b01c
hexefc26f80

4022497152 has 128 divisors (see below), whose sum is σ = 11893975200. Its totient is φ = 1338347520.

The previous prime is 4022497139. The next prime is 4022497181. The reversal of 4022497152 is 2517942204.

4022497152 is a `hidden beast` number, since 402 + 249 + 7 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40224971522 = 32360966675696222208, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666268 + ... + 3667364.

Almost surely, 24022497152 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 4022497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946987600).

4022497152 is an abundant number, since it is smaller than the sum of its proper divisors (7871478048).

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

4022497152 is a wasteful number, since it uses less digits than its factorization.

4022497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4022497152 is about 63423.1594293441. The cubic root of 4022497152 is about 1590.3714902713.

The spelling of 4022497152 in words is "four billion, twenty-two million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1061 1097 1152 1728 2122 2194 3183 3291 3456 4244 4388 6366 6582 8488 8776 9549 9873 12732 13164 16976 17552 19098 19746 25464 26328 28647 29619 33952 35104 38196 39492 50928 52656 57294 59238 67904 70208 76392 78984 101856 105312 114588 118476 135808 140416 152784 157968 203712 210624 229176 236952 305568 315936 407424 421248 458352 473904 611136 631872 916704 947808 1163917 1222272 1263744 1833408 1895616 2327834 3491751 3666816 3791232 4655668 6983502 9311336 10475253 13967004 18622672 20950506 27934008 31425759 37245344 41901012 55868016 62851518 74490688 83802024 111736032 125703036 148981376 167604048 223472064 251406072 335208096 446944128 502812144 670416192 1005624288 1340832384 2011248576 4022497152