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498812928 = 2113194273
BaseRepresentation
bin11101101110110…
…100100000000000
31021202121022200220
4131232310200000
52010144003203
6121255143040
715234561045
oct3556644000
91252538626
10498812928
11236626599
1211b074a80
137c45a9a3
144a3671cc
152dbd1653
hex1dbb4800

498812928 has 96 divisors (see below), whose sum is σ = 1400162400. Its totient is φ = 157483008.

The previous prime is 498812917. The next prime is 498812953. The reversal of 498812928 is 829218894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114600 + ... + 118872.

It is an arithmetic number, because the mean of its divisors is an integer number (14585025).

Almost surely, 2498812928 is an apocalyptic number.

498812928 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 498812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700081200).

498812928 is an abundant number, since it is smaller than the sum of its proper divisors (901349472).

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

498812928 is a wasteful number, since it uses less digits than its factorization.

498812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4297 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 498812928 is about 22334.1202647429. The cubic root of 498812928 is about 793.0719084646.

The spelling of 498812928 in words is "four hundred ninety-eight million, eight hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4273 4864 6144 7296 8546 9728 12819 14592 17092 19456 25638 29184 34184 38912 51276 58368 68368 81187 102552 116736 136736 162374 205104 243561 273472 324748 410208 487122 546944 649496 820416 974244 1093888 1298992 1640832 1948488 2187776 2597984 3281664 3896976 4375552 5195968 6563328 7793952 8751104 10391936 13126656 15587904 20783872 26253312 31175808 41567744 62351616 83135488 124703232 166270976 249406464 498812928