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3942433920 = 273510132027
BaseRepresentation
bin1110101011111100…
…1100010010000000
3101011202101101122010
43222333030102000
531033230341140
61451112012520
7166461064305
oct35277142200
911152341563
103942433920
111743445a57
12920391140
134aaa17549
1429584b0ac
151811a3880
hexeafcc480

3942433920 has 128 divisors (see below), whose sum is σ = 12585119040. Its totient is φ = 1049759744.

The previous prime is 3942433889. The next prime is 3942433981. The reversal of 3942433920 is 293342493.

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

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, 1943947 + ... + 1945973.

Almost surely, 23942433920 is an apocalyptic number.

3942433920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292559520).

3942433920 is an abundant number, since it is smaller than the sum of its proper divisors (8642685120).

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

3942433920 is a wasteful number, since it uses less digits than its factorization.

3942433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3942433920 is about 62788.8040975459. The cubic root of 3942433920 is about 1579.7491884099.

The spelling of 3942433920 in words is "three billion, nine hundred forty-two million, four hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1013 1920 2026 2027 3039 4052 4054 5065 6078 6081 8104 8108 10130 10135 12156 12162 15195 16208 16216 20260 20270 24312 24324 30390 30405 32416 32432 40520 40540 48624 48648 60780 60810 64832 64864 81040 81080 97248 97296 121560 121620 129664 129728 162080 162160 194496 194592 243120 243240 259456 324160 324320 388992 389184 486240 486480 648320 648640 778368 972480 972960 1297280 1944960 1945920 2053351 3891840 4106702 6160053 8213404 10266755 12320106 16426808 20533510 24640212 30800265 32853616 41067020 49280424 61600530 65707232 82134040 98560848 123201060 131414464 164268080 197121696 246402120 262828928 328536160 394243392 492804240 657072320 788486784 985608480 1314144640 1971216960 3942433920