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472382976 = 2931341577
BaseRepresentation
bin11100001001111…
…111111000000000
31012220212112121210
4130021333320000
51431412223401
6114512450120
714464121562
oct3411777000
91186775553
10472382976
1122271435a
12112249940
1376b35970
1446a47332
152b7104d6
hex1c27fe00

472382976 has 160 divisors (see below), whose sum is σ = 1390723488. Its totient is φ = 141557760.

The previous prime is 472382971. The next prime is 472382983. The reversal of 472382976 is 679283274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472382971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818400 + ... + 818976.

Almost surely, 2472382976 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 472382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695361744).

472382976 is an abundant number, since it is smaller than the sum of its proper divisors (918340512).

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

472382976 is a wasteful number, since it uses less digits than its factorization.

472382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 472382976 is about 21734.3731448597. The cubic root of 472382976 is about 778.8098087589.

The spelling of 472382976 in words is "four hundred seventy-two million, three hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 512 533 577 624 656 768 832 984 1066 1154 1248 1312 1536 1599 1664 1731 1968 2132 2308 2496 2624 3198 3328 3462 3936 4264 4616 4992 5248 6396 6656 6924 7501 7872 8528 9232 9984 10496 12792 13848 15002 15744 17056 18464 19968 20992 22503 23657 25584 27696 30004 31488 34112 36928 45006 47314 51168 55392 60008 62976 68224 70971 73856 90012 94628 102336 110784 120016 136448 141942 147712 180024 189256 204672 221568 240032 272896 283884 295424 307541 360048 378512 409344 443136 480064 567768 615082 720096 757024 818688 886272 922623 960128 1135536 1230164 1440192 1514048 1845246 1920256 2271072 2460328 2880384 3028096 3690492 3840512 4542144 4920656 5760768 6056192 7380984 9084288 9841312 11521536 12112384 14761968 18168576 19682624 29523936 36337152 39365248 59047872 78730496 118095744 157460992 236191488 472382976