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487107408 = 24319228111
BaseRepresentation
bin11101000010001…
…010101101010000
31020221120121202010
4131002022231100
51444144414113
6120200222520
715033226134
oct3502125520
91227517663
10487107408
1122aa61007
1211716aa40
1379bbca48
144899b3c4
152cb6d1c3
hex1d08ab50

487107408 has 60 divisors (see below), whose sum is σ = 1328123328. Its totient is φ = 153817920.

The previous prime is 487107367. The next prime is 487107449. The reversal of 487107408 is 804701784.

It is an interprime number because it is at equal distance from previous prime (487107367) and next prime (487107449).

It is a super-4 number, since 4×4871074084 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3273 + ... + 31383.

Almost surely, 2487107408 is an apocalyptic number.

487107408 is a gapful number since it is divisible by the number (48) 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 487107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664061664).

487107408 is an abundant number, since it is smaller than the sum of its proper divisors (841015920).

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

487107408 is a wasteful number, since it uses less digits than its factorization.

487107408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28160 (or 28135 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 487107408 is about 22070.5099170817. The cubic root of 487107408 is about 786.8191319283.

The spelling of 487107408 in words is "four hundred eighty-seven million, one hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 4332 5776 8664 17328 28111 56222 84333 112444 168666 224888 337332 449776 534109 674664 1068218 1349328 1602327 2136436 3204654 4272872 6409308 8545744 10148071 12818616 20296142 25637232 30444213 40592284 60888426 81184568 121776852 162369136 243553704 487107408