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3944938080 = 253519432559
BaseRepresentation
bin1110101100100010…
…1111101001100000
3101011221002121200210
43223020233221200
531034401004310
61451241414120
7166521264126
oct35310575140
911157077623
103944938080
1117448a6406
1292119a340
134ab3b32b5
14295cdd916
151814ea820
hexeb22fa60

3944938080 has 96 divisors (see below), whose sum is σ = 13080614400. Its totient is φ = 996613632.

The previous prime is 3944938021. The next prime is 3944938087. The reversal of 3944938080 is 808394493.

3944938080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944938087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207160 + ... + 225399.

It is an arithmetic number, because the mean of its divisors is an integer number (136256400).

Almost surely, 23944938080 is an apocalyptic number.

3944938080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3944938080 is an abundant number, since it is smaller than the sum of its proper divisors (9135676320).

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

3944938080 is a wasteful number, since it uses less digits than its factorization.

3944938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432596 (or 432588 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3944938080 is about 62808.7420666900. The cubic root of 3944938080 is about 1580.0835932913.

The spelling of 3944938080 in words is "three billion, nine hundred forty-four million, nine hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 432559 865118 1297677 1730236 2162795 2595354 3460472 4325590 5190708 6488385 6920944 8218621 8651180 10381416 12976770 13841888 16437242 17302360 20762832 24655863 25953540 32874484 34604720 41093105 41525664 49311726 51907080 65748968 69209440 82186210 98623452 103814160 123279315 131497936 164372420 197246904 207628320 246558630 262995872 328744840 394493808 493117260 657489680 788987616 986234520 1314979360 1972469040 3944938080