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4072440500 = 225353239643
BaseRepresentation
bin1111001010111100…
…1000001010110100
3101111211000102010122
43302233020022310
531320021044000
61512034311112
7202630113242
oct36257101264
911454012118
104072440500
1117aa871907
12957a28498
134cb93600b
142a8c0d792
1518c7d4085
hexf2bc82b4

4072440500 has 96 divisors (see below), whose sum is σ = 9114094080. Its totient is φ = 1589078400.

The previous prime is 4072440481. The next prime is 4072440523. The reversal of 4072440500 is 50442704.

4072440500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4072440500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6333179 + ... + 6333821.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 24072440500 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 4072440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557047040).

4072440500 is an abundant number, since it is smaller than the sum of its proper divisors (5041653580).

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

4072440500 is a wasteful number, since it uses less digits than its factorization.

4072440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 4072440500 is about 63815.6759738546. The cubic root of 4072440500 is about 1596.9264563824.

The spelling of 4072440500 in words is "four billion, seventy-two million, four hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 239 250 265 478 500 530 643 956 1060 1195 1286 1325 2390 2572 2650 3215 4780 5300 5975 6430 6625 11950 12667 12860 13250 16075 23900 25334 26500 29875 32150 34079 50668 59750 63335 64300 68158 80375 119500 126670 136316 153677 160750 170395 253340 307354 316675 321500 340790 614708 633350 681580 768385 851975 1266700 1536770 1583375 1703950 3073540 3166750 3407900 3841925 4259875 6333500 7683850 8144881 8519750 15367700 16289762 17039500 19209625 32579524 38419250 40724405 76838500 81448810 162897620 203622025 407244050 814488100 1018110125 2036220250 4072440500