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4122215904 = 253295092909
BaseRepresentation
bin1111010110110100…
…0000010111100000
3101122021200021011010
43311231000113200
531420241402104
61521013220520
7204103154112
oct36555002740
911567607133
104122215904
111825979904
12970631740
13509043111
142b16893b2
15191d67489
hexf5b405e0

4122215904 has 96 divisors (see below), whose sum is σ = 11219796000. Its totient is φ = 1323628544.

The previous prime is 4122215897. The next prime is 4122215939. The reversal of 4122215904 is 4095122214.

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

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, 1415602 + ... + 1418510.

It is an arithmetic number, because the mean of its divisors is an integer number (116872875).

Almost surely, 24122215904 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 4122215904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609898000).

4122215904 is an abundant number, since it is smaller than the sum of its proper divisors (7097580096).

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

4122215904 is a wasteful number, since it uses less digits than its factorization.

4122215904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4122215904 is about 64204.4850769789. The cubic root of 4122215904 is about 1603.4062723386.

The spelling of 4122215904 in words is "four billion, one hundred twenty-two million, two hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 509 696 928 1018 1392 1527 2036 2784 2909 3054 4072 5818 6108 8144 8727 11636 12216 14761 16288 17454 23272 24432 29522 34908 44283 46544 48864 59044 69816 84361 88566 93088 118088 139632 168722 177132 236176 253083 279264 337444 354264 472352 506166 674888 708528 1012332 1349776 1417056 1480681 2024664 2699552 2961362 4049328 4442043 5922724 8098656 8884086 11845448 17768172 23690896 35536344 42939749 47381792 71072688 85879498 128819247 142145376 171758996 257638494 343517992 515276988 687035984 1030553976 1374071968 2061107952 4122215904