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4022137408 = 26316613067
BaseRepresentation
bin1110111110111100…
…1111001001000000
3101101022100202021011
43233233033021000
531214131344113
61503040210304
7201446414062
oct35757171100
911338322234
104022137408
111784434403
12943009994
134c13a2983
142a2277732
1518819963d
hexefbcf240

4022137408 has 56 divisors (see below), whose sum is σ = 8254049024. Its totient is φ = 1942617600.

The previous prime is 4022137393. The next prime is 4022137463. The reversal of 4022137408 is 8047312204.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 4022137408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309891 + ... + 1312957.

Almost surely, 24022137408 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 4022137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127024512).

4022137408 is an abundant number, since it is smaller than the sum of its proper divisors (4231911616).

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

4022137408 is a wasteful number, since it uses less digits than its factorization.

4022137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4022137408 is about 63420.3233041270. The cubic root of 4022137408 is about 1590.3240782918.

The spelling of 4022137408 in words is "four billion, twenty-two million, one hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 661 992 1322 1984 2644 3067 5288 6134 10576 12268 20491 21152 24536 40982 42304 49072 81964 95077 98144 163928 190154 196288 327856 380308 655712 760616 1311424 1521232 2027287 3042464 4054574 6084928 8109148 16218296 32436592 62845897 64873184 125691794 129746368 251383588 502767176 1005534352 2011068704 4022137408