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498033972 = 2232173126251
BaseRepresentation
bin11101101011110…
…110010100110100
31021201010202011200
4131223312110310
52004444041342
6121230332500
715225135042
oct3553662464
91251122150
10498033972
11236144327
1211a95a130
137c247277
144a203392
152daca94c
hex1daf6534

498033972 has 72 divisors (see below), whose sum is σ = 1376024832. Its totient is φ = 151200000.

The previous prime is 498033967. The next prime is 498033997. The reversal of 498033972 is 279330894.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847 + ... + 32097.

It is an arithmetic number, because the mean of its divisors is an integer number (19111456).

Almost surely, 2498033972 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 498033972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688012416).

498033972 is an abundant number, since it is smaller than the sum of its proper divisors (877990860).

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

498033972 is a wasteful number, since it uses less digits than its factorization.

498033972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26309 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 498033972 is about 22316.6747523012. The cubic root of 498033972 is about 792.6588678643.

The spelling of 498033972 in words is "four hundred ninety-eight million, thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 26251 52502 78753 105004 157506 236259 315012 446267 472518 813781 892534 945036 1338801 1627562 1785068 2441343 2677602 3255124 4016403 4882686 5355204 7324029 8032806 9765372 13834277 14648058 16065612 27668554 29296116 41502831 55337108 83005662 124508493 166011324 249016986 498033972