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3922293840 = 243538814211
BaseRepresentation
bin1110100111001001…
…0111010001010000
3101010100111011122020
43221302113101100
531013101400330
61445112211440
7166124643003
oct35162272120
911110434566
103922293840
11173303a463
12915699b80
134a67b543a
14292cc753a
1517e526210
hexe9c97450

3922293840 has 80 divisors (see below), whose sum is σ = 12165132096. Its totient is φ = 1045427200.

The previous prime is 3922293827. The next prime is 3922293883. The reversal of 3922293840 is 483922293.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3922293792 and 3922293801.

It is a congruent number.

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, 929335 + ... + 933545.

Almost surely, 23922293840 is an apocalyptic number.

3922293840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3922293840 is an abundant number, since it is smaller than the sum of its proper divisors (8242838256).

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

3922293840 is a wasteful number, since it uses less digits than its factorization.

3922293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3922293840 is about 62628.2191986967. The cubic root of 3922293840 is about 1577.0545241320.

The spelling of 3922293840 in words is "three billion, nine hundred twenty-two million, two hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3881 4211 7762 8422 11643 12633 15524 16844 19405 21055 23286 25266 31048 33688 38810 42110 46572 50532 58215 62096 63165 67376 77620 84220 93144 101064 116430 126330 155240 168440 186288 202128 232860 252660 310480 336880 465720 505320 931440 1010640 16342891 32685782 49028673 65371564 81714455 98057346 130743128 163428910 196114692 245143365 261486256 326857820 392229384 490286730 653715640 784458768 980573460 1307431280 1961146920 3922293840