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7813044 = 223373991
BaseRepresentation
bin11101110011011110110100
3112200221111000
4131303132310
54000004134
6435243300
7123260361
oct35633664
915627430
107813044
114457068
122749530
131807305
141075468
15a44e99
hex7737b4

7813044 has 48 divisors (see below), whose sum is σ = 20554240. Its totient is φ = 2566080.

The previous prime is 7813037. The next prime is 7813061. The reversal of 7813044 is 4403187.

It is a super-2 number, since 2×78130442 = 122087313091872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 7812999 and 7813017.

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, 7389 + ... + 8379.

Almost surely, 27813044 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 7813044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277120).

7813044 is an abundant number, since it is smaller than the sum of its proper divisors (12741196).

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

7813044 is a wasteful number, since it uses less digits than its factorization.

7813044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7813044 is about 2795.1822838591. The cubic root of 7813044 is about 198.4297369687.

The spelling of 7813044 in words is "seven million, eight hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 991 1314 1971 1982 2628 2973 3942 3964 5946 7884 8919 11892 17838 26757 35676 53514 72343 107028 144686 217029 289372 434058 651087 868116 1302174 1953261 2604348 3906522 7813044