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4412197404 = 22321910362627
BaseRepresentation
bin1000001101111110…
…01100101000011100
3102101111022211222200
410012333030220130
533014010304104
62005452411500
7214224026166
oct40677145034
912344284880
104412197404
11196463023a
12a31776b90
13554143ac4
142dbdb1936
151ac547b39
hex106fcca1c

4412197404 has 72 divisors (see below), whose sum is σ = 11854227840. Its totient is φ = 1379776032.

The previous prime is 4412197397. The next prime is 4412197417. The reversal of 4412197404 is 4047912144.

4412197404 is a `hidden beast` number, since 44 + 121 + 97 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39139 + ... + 101765.

Almost surely, 24412197404 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 4412197404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927113920).

4412197404 is an abundant number, since it is smaller than the sum of its proper divisors (7442030436).

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

4412197404 is a wasteful number, since it uses less digits than its factorization.

4412197404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62759 (or 62754 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4412197404 is about 66424.3735687436. The cubic root of 4412197404 is about 1640.1553248683.

The spelling of 4412197404 in words is "four billion, four hundred twelve million, one hundred ninety-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1236 1854 1957 3708 3914 5871 7828 11742 17613 23484 35226 62627 70452 125254 187881 250508 375762 563643 751524 1127286 1189913 2254572 2379826 3569739 4759652 6450581 7139478 10709217 12901162 14278956 19351743 21418434 25802324 38703486 42836868 58055229 77406972 116110458 122561039 232220916 245122078 367683117 490244156 735366234 1103049351 1470732468 2206098702 4412197404