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98813952 = 211331787
BaseRepresentation
bin1011110001111…
…00100000000000
320212221021021000
411320330200000
5200244021302
613445532000
72306622216
oct570744000
9225837230
1098813952
1150861426
1229114000
13176199c3
14d1a2cb6
158a1d31c
hex5e3c800

98813952 has 96 divisors (see below), whose sum is σ = 292874400. Its totient is φ = 32919552.

The previous prime is 98813929. The next prime is 98813959. The reversal of 98813952 is 25931889.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 98813898 and 98813907.

It is not an unprimeable number, because it can be changed into a prime (98813959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54403 + ... + 56189.

It is an arithmetic number, because the mean of its divisors is an integer number (3050775).

Almost surely, 298813952 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 98813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146437200).

98813952 is an abundant number, since it is smaller than the sum of its proper divisors (194060448).

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

98813952 is a wasteful number, since it uses less digits than its factorization.

98813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1792 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 98813952 is about 9940.5207107073. The cubic root of 98813952 is about 462.3165312715.

The spelling of 98813952 in words is "ninety-eight million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1787 2048 2304 3072 3456 3574 4608 5361 6144 6912 7148 9216 10722 13824 14296 16083 18432 21444 27648 28592 32166 42888 48249 55296 57184 64332 85776 96498 114368 128664 171552 192996 228736 257328 343104 385992 457472 514656 686208 771984 914944 1029312 1372416 1543968 1829888 2058624 2744832 3087936 3659776 4117248 5489664 6175872 8234496 10979328 12351744 16468992 24703488 32937984 49406976 98813952