Search a number
-
+
36994048 = 210713397
BaseRepresentation
bin1000110100011…
…1110000000000
32120121111021221
42031013300000
533432302143
63400524424
7626305240
oct215076000
976544257
1036994048
11199781a3
1210480714
137883590
144cadb20
1533ab2ed
hex2347c00

36994048 has 88 divisors (see below), whose sum is σ = 91247072. Its totient is φ = 14598144.

The previous prime is 36994037. The next prime is 36994049. The reversal of 36994048 is 84049963.

It is a junction number, because it is equal to n+sod(n) for n = 36993995 and 36994013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36994049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92986 + ... + 93382.

Almost surely, 236994048 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 36994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45623536).

36994048 is an abundant number, since it is smaller than the sum of its proper divisors (54253024).

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

36994048 is a wasteful number, since it uses less digits than its factorization.

36994048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 36994048 is about 6082.2732592346. The cubic root of 36994048 is about 333.2043162925.

The spelling of 36994048 in words is "thirty-six million, nine hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 397 416 448 512 728 794 832 896 1024 1456 1588 1664 1792 2779 2912 3176 3328 3584 5161 5558 5824 6352 6656 7168 10322 11116 11648 12704 13312 20644 22232 23296 25408 36127 41288 44464 46592 50816 72254 82576 88928 93184 101632 144508 165152 177856 203264 289016 330304 355712 406528 578032 660608 711424 1156064 1321216 1422848 2312128 2642432 2845696 4624256 5284864 9248512 18497024 36994048