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470309742 = 2327231103167
BaseRepresentation
bin11100000010000…
…101101101101110
31012202222012200100
4130002011231232
51430344402432
6114400211530
714440365300
oct3402055556
91182865610
10470309742
11221528741
12111609ba6
137658b0b6
1446667970
152b45107c
hex1c085b6e

470309742 has 144 divisors (see below), whose sum is σ = 1242888192. Its totient is φ = 128005920.

The previous prime is 470309737. The next prime is 470309753. The reversal of 470309742 is 247903074.

It is a junction number, because it is equal to n+sod(n) for n = 470309697 and 470309706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2816143 + ... + 2816309.

It is an arithmetic number, because the mean of its divisors is an integer number (8631168).

Almost surely, 2470309742 is an apocalyptic number.

470309742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 470309742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621444096).

470309742 is an abundant number, since it is smaller than the sum of its proper divisors (772578450).

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

470309742 is a wasteful number, since it uses less digits than its factorization.

470309742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 470309742 is about 21686.6258786377. The cubic root of 470309742 is about 777.6687692413.

The spelling of 470309742 in words is "four hundred seventy million, three hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 103 126 147 167 186 206 217 279 294 309 334 434 441 501 558 618 651 721 882 927 1002 1169 1302 1442 1503 1519 1854 1953 2163 2338 3006 3038 3193 3507 3906 4326 4557 5047 5177 6386 6489 7014 8183 9114 9579 10094 10354 10521 12978 13671 15141 15531 16366 17201 19158 21042 22351 24549 27342 28737 30282 31062 34402 36239 44702 45423 46593 49098 51603 57474 67053 72478 73647 90846 93186 103206 108717 120407 134106 147294 154809 156457 201159 217434 240814 253673 309618 312914 326151 361221 402318 469371 507346 533231 652302 722442 761019 842849 938742 1066462 1083663 1408113 1522038 1599693 1685698 2167326 2283057 2528547 2816226 3199386 3732617 4566114 4799079 5057094 7465234 7585641 9598158 11197851 15171282 22395702 26128319 33593553 52256638 67187106 78384957 156769914 235154871 470309742