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3798255348 = 22331671971069
BaseRepresentation
bin1110001001100100…
…1100011011110100
3100210201002100211000
43202121030123310
530234323132343
61424521443300
7163060431516
oct34231143364
910721070730
103798255348
11167a01a508
128a0040530
13486ba6294
14280639bb6
151736c3ed3
hexe264c6f4

3798255348 has 96 divisors (see below), whose sum is σ = 9965894400. Its totient is φ = 1250944128.

The previous prime is 3798255337. The next prime is 3798255353. The reversal of 3798255348 is 8435528973.

3798255348 is a `hidden beast` number, since 3 + 7 + 9 + 82 + 553 + 4 + 8 = 666.

3798255348 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37982553482 = 28853487377221202208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3798255294 and 3798255303.

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, 3552558 + ... + 3553626.

It is an arithmetic number, because the mean of its divisors is an integer number (103811400).

Almost surely, 23798255348 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 3798255348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982947200).

3798255348 is an abundant number, since it is smaller than the sum of its proper divisors (6167639052).

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

3798255348 is a wasteful number, since it uses less digits than its factorization.

3798255348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 3798255348 is about 61629.9874087282. The cubic root of 3798255348 is about 1560.2518971931.

The spelling of 3798255348 in words is "three billion, seven hundred ninety-eight million, two hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 197 334 394 501 591 668 788 1002 1069 1182 1503 1773 2004 2138 2364 3006 3207 3546 4276 4509 5319 6012 6414 7092 9018 9621 10638 12828 18036 19242 21276 28863 32899 38484 57726 65798 98697 115452 131596 178523 197394 210593 296091 357046 394788 421186 535569 592182 631779 714092 842372 888273 1071138 1184364 1263558 1606707 1776546 1895337 2142276 2527116 3213414 3553092 3790674 4820121 5686011 6426828 7581348 9640242 11372022 19280484 22744044 35169031 70338062 105507093 140676124 211014186 316521279 422028372 633042558 949563837 1266085116 1899127674 3798255348