Search a number
-
+
1478552940 = 22355793851
BaseRepresentation
bin101100000100000…
…1110110101101100
310211001011021100000
41120020032311230
511012002143230
6402414304300
751432330654
oct13010166554
93731137300
101478552940
11699671787
123531b8090
131a74232c7
1410051d364
1589c0eb60
hex5820ed6c

1478552940 has 144 divisors (see below), whose sum is σ = 4711150080. Its totient is φ = 389188800.

The previous prime is 1478552879. The next prime is 1478552969. The reversal of 1478552940 is 492558741.

1478552940 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 552 + 94 + 0 = 666.

It is a super-2 number, since 2×14785529402 = 4372237592765287200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382015 + ... + 385865.

It is an arithmetic number, because the mean of its divisors is an integer number (32716320).

Almost surely, 21478552940 is an apocalyptic number.

1478552940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1478552940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355575040).

1478552940 is an abundant number, since it is smaller than the sum of its proper divisors (3232597140).

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

1478552940 is a wasteful number, since it uses less digits than its factorization.

1478552940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1478552940 is about 38451.9562571269. The cubic root of 1478552940 is about 1139.2323086271.

The spelling of 1478552940 in words is "one billion, four hundred seventy-eight million, five hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 243 270 316 324 395 405 474 486 540 711 790 810 948 972 1185 1215 1422 1580 1620 2133 2370 2430 2844 3555 3851 4266 4740 4860 6399 7110 7702 8532 10665 11553 12798 14220 15404 19197 19255 21330 23106 25596 31995 34659 38394 38510 42660 46212 57765 63990 69318 76788 77020 95985 103977 115530 127980 138636 173295 191970 207954 231060 304229 311931 346590 383940 415908 519885 608458 623862 693180 912687 935793 1039770 1216916 1247724 1521145 1559655 1825374 1871586 2079540 2738061 3042290 3119310 3650748 3743172 4563435 4678965 5476122 6084580 6238620 8214183 9126870 9357930 10952244 13690305 16428366 18253740 18715860 24642549 27380610 32856732 41070915 49285098 54761220 73927647 82141830 98570196 123212745 147855294 164283660 246425490 295710588 369638235 492850980 739276470 1478552940