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472022640 = 2435524281
BaseRepresentation
bin11100001000100…
…111111001110000
31012220012020100000
4130020213321300
51431314211030
6114501030000
714461061205
oct3410477160
91186166300
10472022640
11222498661
121120b5300
1376a3a94b
1446991cac
152b68d860
hex1c227e70

472022640 has 120 divisors (see below), whose sum is σ = 1643988528. Its totient is φ = 125867520.

The previous prime is 472022633. The next prime is 472022641. The reversal of 472022640 is 46220274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472022641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7300 + ... + 31580.

Almost surely, 2472022640 is an apocalyptic number.

472022640 is a gapful number since it is divisible by the number (40) 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 472022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821994264).

472022640 is an abundant number, since it is smaller than the sum of its proper divisors (1171965888).

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

472022640 is a wasteful number, since it uses less digits than its factorization.

472022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24309 (or 24291 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 472022640 is about 21726.0820213862. The cubic root of 472022640 is about 778.6117317664.

The spelling of 472022640 in words is "four hundred seventy-two million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 24281 48562 72843 97124 121405 145686 194248 218529 242810 291372 364215 388496 437058 485620 582744 655587 728430 874116 971240 1092645 1165488 1311174 1456860 1748232 1942480 1966761 2185290 2622348 2913720 3277935 3496464 3933522 4370580 5244696 5827440 5900283 6555870 7867044 8741160 9833805 10489392 11800566 13111740 15734088 17482320 19667610 23601132 26223480 29501415 31468176 39335220 47202264 52446960 59002830 78670440 94404528 118005660 157340880 236011320 472022640