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100042362 = 23271914157
BaseRepresentation
bin1011111011010…
…00011001111010
320222020200022200
411331220121322
5201102323422
613532131030
72323226460
oct575503172
9228220280
10100042362
1151520342
1229606a76
1317959b84
14d402830
158bb22ac
hex5f6867a

100042362 has 48 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 28427040.

The previous prime is 100042343. The next prime is 100042409. The reversal of 100042362 is 263240001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21988 + ... + 26144.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2100042362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100042362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

100042362 is an abundant number, since it is smaller than the sum of its proper divisors (149038470).

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

100042362 is a wasteful number, since it uses less digits than its factorization.

100042362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100042362 is about 10002.1178757301. The cubic root of 100042362 is about 464.2244164372.

Adding to 100042362 its reverse (263240001), we get a palindrome (363282363).

The spelling of 100042362 in words is "one hundred million, forty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 4157 8022 8314 12033 12471 24066 24942 29099 37413 58198 74826 87297 174594 261891 523782 793987 1587974 2381961 4763922 5557909 7145883 11115818 14291766 16673727 33347454 50021181 100042362