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100496472 = 23319733019
BaseRepresentation
bin1011111110101…
…11010001011000
321000002202020120
411333113101120
5201211341342
613545553240
72330130426
oct577272130
9230082216
10100496472
115180053a
12297a5820
1317a8878b
14d4c0116
158c51aec
hex5fd7458

100496472 has 64 divisors (see below), whose sum is σ = 268176000. Its totient is φ = 31290624.

The previous prime is 100496447. The next prime is 100496479. The reversal of 100496472 is 274694001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100496479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31779 + ... + 34797.

It is an arithmetic number, because the mean of its divisors is an integer number (4190250).

Almost surely, 2100496472 is an apocalyptic number.

100496472 is a gapful number since it is divisible by the number (12) 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 100496472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134088000).

100496472 is an abundant number, since it is smaller than the sum of its proper divisors (167679528).

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

100496472 is a wasteful number, since it uses less digits than its factorization.

100496472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 100496472 is about 10024.7928656905. The cubic root of 100496472 is about 464.9257552870.

The spelling of 100496472 in words is "one hundred million, four hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1387 1752 2774 3019 4161 5548 6038 8322 9057 11096 12076 16644 18114 24152 33288 36228 57361 72456 114722 172083 220387 229444 344166 440774 458888 661161 688332 881548 1322322 1376664 1763096 2644644 4187353 5289288 8374706 12562059 16749412 25124118 33498824 50248236 100496472