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4001227152 = 243137190313
BaseRepresentation
bin1110111001111101…
…1110000110010000
3101022212000101210020
43232133132012100
531143303232102
61501012103440
7201103604166
oct35637360620
911285011706
104001227152
1117736521aa
12938004b80
134b9c61140
1429d593236
15186418bbc
hexee7de190

4001227152 has 80 divisors (see below), whose sum is σ = 11288527488. Its totient is φ = 1213793280.

The previous prime is 4001227147. The next prime is 4001227169. The reversal of 4001227152 is 2517221004.

It is a super-2 number, since 2×40012271522 = 32019637443804062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853 + ... + 89460.

Almost surely, 24001227152 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 4001227152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644263744).

4001227152 is an abundant number, since it is smaller than the sum of its proper divisors (7287300336).

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

4001227152 is a wasteful number, since it uses less digits than its factorization.

4001227152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90408 (or 90402 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4001227152 is about 63255.2539477947. The cubic root of 4001227152 is about 1587.5633672352.

Adding to 4001227152 its reverse (2517221004), we get a palindrome (6518448156).

The spelling of 4001227152 in words is "four billion, one million, two hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 44304 90313 180626 270939 361252 541878 722504 1083756 1174069 1445008 2167512 2348138 3522207 4335024 4696276 6412223 7044414 9392552 12824446 14088828 18785104 19236669 25648892 28177656 38473338 51297784 56355312 76946676 83358899 102595568 153893352 166717798 250076697 307786704 333435596 500153394 666871192 1000306788 1333742384 2000613576 4001227152