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98429952 = 21031792
BaseRepresentation
bin1011101110111…
…10110000000000
320212012202111210
411313132300000
5200144224302
613433410120
72303432535
oct567366000
9225182453
1098429952
1150619975
1228b69940
1317513c9a
14d102d8c
15899466c
hex5ddec00

98429952 has 66 divisors (see below), whose sum is σ = 263825548. Its totient is φ = 32626688.

The previous prime is 98429951. The next prime is 98429987. The reversal of 98429952 is 25992489.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (98429951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549799 + ... + 549977.

Almost surely, 298429952 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 98429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131912774).

98429952 is an abundant number, since it is smaller than the sum of its proper divisors (165395596).

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

98429952 is an equidigital number, since it uses as much as digits as its factorization.

98429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 184 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 98429952 is about 9921.1870257545. The cubic root of 98429952 is about 461.7168858182.

Multiplying 98429952 by its sum of digits (48), we get a square (4724637696 = 687362).

98429952 divided by its sum of digits (48) gives a square (2050624 = 14322).

The spelling of 98429952 in words is "ninety-eight million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1432 1536 2148 2864 3072 4296 5728 8592 11456 17184 22912 32041 34368 45824 64082 68736 91648 96123 128164 137472 183296 192246 256328 274944 384492 512656 549888 768984 1025312 1537968 2050624 3075936 4101248 6151872 8202496 12303744 16404992 24607488 32809984 49214976 98429952