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488320404 = 2231113383743
BaseRepresentation
bin11101000110110…
…010110110010100
31021000212020122220
4131012302312110
52000002223104
6120242222340
715046440435
oct3506626624
91230766586
10488320404
1123070a390
121176549b0
137a225bb0
1448bd548c
152cd0c7d9
hex1d1b2d94

488320404 has 96 divisors (see below), whose sum is σ = 1343913984. Its totient is φ = 136053120.

The previous prime is 488320381. The next prime is 488320411. The reversal of 488320404 is 404023884.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656857 + ... + 657599.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 2488320404 is an apocalyptic number.

488320404 is a gapful number since it is divisible by the number (44) 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 488320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671956992).

488320404 is an abundant number, since it is smaller than the sum of its proper divisors (855593580).

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

488320404 is a wasteful number, since it uses less digits than its factorization.

488320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 488320404 is about 22097.9728482049. The cubic root of 488320404 is about 787.4717034932.

The spelling of 488320404 in words is "four hundred eighty-eight million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 383 429 572 743 766 858 1149 1486 1532 1716 2229 2298 2972 4213 4458 4596 4979 8173 8426 8916 9659 9958 12639 14937 16346 16852 19318 19916 24519 25278 28977 29874 32692 38636 49038 50556 54769 57954 59748 98076 106249 109538 115908 164307 212498 219076 284569 318747 328614 424996 569138 637494 657228 853707 1138276 1274988 1707414 3130259 3414828 3699397 6260518 7398794 9390777 11098191 12521036 14797588 18781554 22196382 37563108 40693367 44392764 81386734 122080101 162773468 244160202 488320404