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4241872920 = 2335293373617
BaseRepresentation
bin1111110011010101…
…1101100000011000
3101221121211110201110
43330311131200120
532141404413140
61540530020320
7210055216305
oct37465354030
911847743643
104241872920
1118874769aa
129a47176a0
13527a79b9c
142c35160ac
1519c601380
hexfcd5d818

4241872920 has 128 divisors (see below), whose sum is σ = 13207147200. Its totient is φ = 1088618496.

The previous prime is 4241872913. The next prime is 4241872933. The reversal of 4241872920 is 292781424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170952 + ... + 1174568.

Almost surely, 24241872920 is an apocalyptic number.

4241872920 is a gapful number since it is divisible by the number (40) 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 4241872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603573600).

4241872920 is an abundant number, since it is smaller than the sum of its proper divisors (8965274280).

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

4241872920 is a wasteful number, since it uses less digits than its factorization.

4241872920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4241872920 is about 65129.6623666974. The cubic root of 4241872920 is about 1618.7727483076.

The spelling of 4241872920 in words is "four billion, two hundred forty-one million, eight hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 337 348 435 580 674 696 870 1011 1160 1348 1685 1740 2022 2696 3370 3480 3617 4044 5055 6740 7234 8088 9773 10110 10851 13480 14468 18085 19546 20220 21702 28936 29319 36170 39092 40440 43404 48865 54255 58638 72340 78184 86808 97730 104893 108510 117276 144680 146595 195460 209786 217020 234552 293190 314679 390920 419572 434040 524465 586380 629358 839144 1048930 1172760 1218929 1258716 1573395 2097860 2437858 2517432 3146790 3656787 4195720 4875716 6094645 6293580 7313574 9751432 12189290 12587160 14627148 18283935 24378580 29254296 35348941 36567870 48757160 70697882 73135740 106046823 141395764 146271480 176744705 212093646 282791528 353489410 424187292 530234115 706978820 848374584 1060468230 1413957640 2120936460 4241872920